Details

analyze2.1s (9.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample133.0ms (0.6%)

Algorithm

1×

intervals

Results

60.0ms	56×	body	1024	valid
26.0ms	141×	body	128	valid
23.0ms	41×	body	512	valid
7.0ms	18×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify154.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64_3078`
6×	`associate-l_binary64_3088` `associate-r_binary64_3087`
1×	`associate-/l/_binary64_3094` `associate-/r*_binary64_3091` `+-commutative_binary64_3077`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `log-prod_binary64_3233` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow3_binary64_3213` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `exp-prod_binary64_3199` `div-exp_binary64_3198` `rec-exp_binary64_3197` `prod-exp_binary64_3196` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-unmult_binary64_3184` `cube-mult_binary64_3177` `cube-div_binary64_3176` `cube-prod_binary64_3175` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `times-frac_binary64_3153` `div-sub_binary64_3152` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `unsub-neg_binary64_3141` `sub-neg_binary64_3140` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `pow-sqr_binary64_3120` `sqr-pow_binary64_3119` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `unswap-sqr_binary64_3115` `swap-sqr_binary64_3114` `cancel-sign-sub-inv_binary64_3113` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-neg-in_binary64_3108` `distribute-rgt-neg-out_binary64_3107` `distribute-lft-neg-out_binary64_3106` `distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `count-2_binary64_3095` `associate-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	29	46
2	44	46
3	44	46

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
34.6b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite302.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64_3153`
89×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
26×	`associate-/l*_binary64_3092`
19×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
10×	`div-inv_binary64_3144`
9×	`pow1_binary64_3208`
6×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `associate-/r*_binary64_3091`
4×	`add-log-exp_binary64_3186`
3×	`cos-atan_binary64_3326` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-r_binary64_3087`
2×	`frac-2neg_binary64_3158` `clear-num_binary64_3146` `associate-/l/_binary64_3094` `tan-quot_binary64_3306` `associate-/r/_binary64_3093`
1×	`un-div-inv_binary64_3145` `associate-r/_binary64_3089` `associate-l_binary64_3088` `-commutative_binary64_3078`

Counts

4 → 170

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6464 to 1262 computations (80.5% saved)

series2.0s (9.2%)

Error

0.1b

Counts

4 → 41

Calls

4 calls:

591.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
528.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
525.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
263.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 3674 to 1730 computations (52.9% saved)

simplify447.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

603×	`times-frac_binary64_3153`
413×	`cancel-sign-sub-inv_binary64_3113`
379×	`associate-/l/_binary64_3094`
355×	`*-commutative_binary64_3078`
331×	`associate-/l*_binary64_3092`
317×	`associate-/r*_binary64_3091`
188×	`associate-*l/_binary64_3090`
179×	`distribute-rgt-neg-in_binary64_3105`
169×	`distribute-lft-neg-in_binary64_3104`
148×	`distribute-lft-out--_binary64_3099`
146×	`associate-l_binary64_3088`
135×	`associate-/r/_binary64_3093`
116×	`associate-*r/_binary64_3089`
114×	`associate-r_binary64_3087`
105×	`distribute-lft-out_binary64_3098`
99×	`sub-neg_binary64_3140`
74×	`sqr-pow_binary64_3119`
71×	`distribute-rgt-out--_binary64_3101`
64×	`unswap-sqr_binary64_3115`
62×	`distribute-rgt-out_binary64_3100`
59×	`neg-mul-1_binary64_3143`
58×	`neg-sub0_binary64_3142`
40×	`*-rgt-identity_binary64_3137`
37×	`/-rgt-identity_binary64_3138`
36×	`log-prod_binary64_3233` `distribute-neg-frac_binary64_3111`
35×	`pow-sqr_binary64_3120`
32×	`swap-sqr_binary64_3114`
31×	`exp-prod_binary64_3199`
29×	`cube-prod_binary64_3175`
28×	`log-div_binary64_3234`
27×	`*-lft-identity_binary64_3136` `+-commutative_binary64_3077`
20×	`cube-div_binary64_3176`
19×	`div-sub_binary64_3152`
18×	`unsub-neg_binary64_3141`
16×	`div-exp_binary64_3198` `prod-exp_binary64_3196` `associate-+l-_binary64_3082`
13×	`associate--l+_binary64_3084`
12×	`distribute-neg-out_binary64_3109` `distribute-lft-neg-out_binary64_3106` `associate-+r-_binary64_3081`
11×	`associate-+r+_binary64_3079`
10×	`cube-unmult_binary64_3184` `associate-+l+_binary64_3080`
8×	`sub0-neg_binary64_3134`
7×	`distribute-neg-in_binary64_3108` `associate--r+_binary64_3083`
6×	`+-rgt-identity_binary64_3132`
5×	`log-rec_binary64_3235` `unpow3_binary64_3213` `cube-mult_binary64_3177`
4×	`rec-exp_binary64_3197` `distribute-rgt1-in_binary64_3103`
3×	`distribute-frac-neg_binary64_3110` `associate--l-_binary64_3085`
2×	`cancel-sign-sub_binary64_3112` `distribute-rgt-in_binary64_3097`
1×	`log-pow_binary64_3236` `pow-plus_binary64_3210` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-log-exp_binary64_3188` `remove-double-neg_binary64_3135` `div0_binary64_3128` `distribute-rgt-neg-out_binary64_3107` `distribute-lft1-in_binary64_3102` `count-2_binary64_3095` `associate--r-_binary64_3086`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-exp-log_binary64_3187` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `mul-1-neg_binary64_3139` `--rgt-identity_binary64_3133` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `distribute-lft-in_binary64_3096`

Counts

211 → 514

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	4477
1	525	4135
2	1480	4099
3	3548	4099

prune857.0ms (4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	510	4	514
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	511	4	515

Error

0.1b

Counts

515 → 4

Compiler

Compiled 19846 to 3169 computations (84% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) 3))
2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
34.6b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite362.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64_3153`
91×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
26×	`associate-/l*_binary64_3092`
14×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
12×	`cbrt-prod_binary64_3178`
10×	`div-inv_binary64_3144`
6×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `associate-/r*_binary64_3091`
4×	`pow1_binary64_3208` `add-log-exp_binary64_3186`
3×	`unpow-prod-down_binary64_3226` `cube-prod_binary64_3175`
2×	`cos-atan_binary64_3326` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `associate-/l/_binary64_3094` `tan-quot_binary64_3306` `associate-/r/_binary64_3093`
1×	`pow1/3_binary64_3229` `cube-div_binary64_3176` `cbrt-div_binary64_3179` `unpow3_binary64_3213` `cube-mult_binary64_3177` `sqr-pow_binary64_3119` `rem-cbrt-cube_binary64_3171`

Counts

4 → 172

Calls

4 calls:

8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) 3))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 7095 to 1908 computations (73.1% saved)

series1.6s (7.7%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

561.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
533.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
252.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) 3))
244.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 3593 to 1935 computations (46.1% saved)

simplify517.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

663×	`times-frac_binary64_3153`
386×	`associate-/l/_binary64_3094`
330×	`associate-/l*_binary64_3092`
316×	`associate-/r*_binary64_3091`
260×	`unswap-sqr_binary64_3115`
197×	`sqr-pow_binary64_3119`
192×	`associate-l_binary64_3088`
146×	`distribute-rgt-neg-in_binary64_3105`
136×	`associate-/r/_binary64_3093`
135×	`pow-sqr_binary64_3120`
134×	`associate-*l/_binary64_3090`
115×	`*-commutative_binary64_3078`
113×	`sub-neg_binary64_3140`
105×	`associate-r_binary64_3087`
100×	`cancel-sign-sub-inv_binary64_3113`
98×	`exp-to-pow_binary64_3209` `associate-*r/_binary64_3089`
74×	`pow-plus_binary64_3210`
69×	`distribute-lft-neg-in_binary64_3104`
59×	`div-sub_binary64_3152`
53×	`exp-prod_binary64_3199`
51×	`log-pow_binary64_3236` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100`
49×	`rem-sqrt-square_binary64_3160`
48×	`*-rgt-identity_binary64_3137`
47×	`log-prod_binary64_3233`
41×	`/-rgt-identity_binary64_3138`
39×	`*-lft-identity_binary64_3136`
37×	`neg-mul-1_binary64_3143`
36×	`distribute-neg-frac_binary64_3111`
34×	`neg-sub0_binary64_3142`
33×	`cube-prod_binary64_3175`
28×	`unsub-neg_binary64_3141`
26×	`swap-sqr_binary64_3114`
22×	`distribute-rgt-in_binary64_3097`
21×	`sub0-neg_binary64_3134`
20×	`unpow3_binary64_3213`
19×	`cube-unmult_binary64_3184`
18×	`log-div_binary64_3234` `associate-+l-_binary64_3082`
16×	`div-exp_binary64_3198` `prod-exp_binary64_3196` `+-commutative_binary64_3077`
15×	`pow-base-1_binary64_3207` `cube-div_binary64_3176`
14×	`mul0-lft_binary64_3129` `associate--l-_binary64_3085`
13×	`distribute-neg-in_binary64_3108`
12×	`+-lft-identity_binary64_3131` `distribute-neg-out_binary64_3109`
11×	`cube-mult_binary64_3177` `distribute-lft-in_binary64_3096`
9×	`exp-sum_binary64_3193` `distribute-lft-neg-out_binary64_3106`
8×	`distribute-lft-out_binary64_3098` `associate--l+_binary64_3084` `associate--r+_binary64_3083`
7×	`+-inverses_binary64_3126` `associate--r-_binary64_3086` `associate-+r-_binary64_3081` `associate-+l+_binary64_3080`
6×	`rem-cbrt-cube_binary64_3171` `mul0-rgt_binary64_3130`
5×	`count-2_binary64_3095` `associate-+r+_binary64_3079`
4×	`log-rec_binary64_3235` `rec-exp_binary64_3197` `div0_binary64_3128` `distribute-rgt-neg-out_binary64_3107`
3×	`distribute-frac-neg_binary64_3110` `distribute-rgt1-in_binary64_3103`
2×	`exp-lft-sqr_binary64_3202` `exp-sqrt_binary64_3200` `rem-square-sqrt_binary64_3159` `remove-double-neg_binary64_3135` `--rgt-identity_binary64_3133` `remove-double-div_binary64_3123` `distribute-lft-out--_binary64_3099`
1×	`exp-lft-cube_binary64_3203` `1-exp_binary64_3191` `rem-log-exp_binary64_3188` `rem-3cbrt-lft_binary64_3172` `rem-cube-cbrt_binary64_3170` `+-rgt-identity_binary64_3132`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-cbrt_binary64_3201` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-exp-log_binary64_3187` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `mul-1-neg_binary64_3139` `*-inverses_binary64_3127` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `cancel-sign-sub_binary64_3112` `distribute-lft1-in_binary64_3102`

Counts

210 → 574

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	208	4170
1	420	4007
2	1053	4007
3	2883	4007
4	3986	4007

prune1.1s (5.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	573	1	574
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	574	4	578

Error

0.1b

Counts

578 → 4

Compiler

Compiled 23516 to 5275 computations (77.6% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.9b	(/.f64 eh (*.f64 ew (tan.f64 t)))
34.6b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
34.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite303.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

78×	`times-frac_binary64_3153`
48×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
16×	`associate-/l*_binary64_3092`
14×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
6×	`div-inv_binary64_3144`
5×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181`
4×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `associate-/r*_binary64_3091`
2×	`cos-atan_binary64_3326` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `tan-quot_binary64_3306` `associate-/r/_binary64_3093`
1×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-*r/_binary64_3089` `associate-/l/_binary64_3094`

Counts

4 → 109

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
6.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 5879 to 1962 computations (66.6% saved)

series1.7s (8.2%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

590.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
549.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
277.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
254.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 5242 to 2825 computations (46.1% saved)

simplify472.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

687×	`div-sub_binary64_3152`
521×	`associate-/l/_binary64_3094`
496×	`associate-/l*_binary64_3092`
440×	`associate-/r*_binary64_3091`
268×	`exp-to-pow_binary64_3209`
259×	`associate-/r/_binary64_3093`
207×	`associate-*l/_binary64_3090`
206×	`associate-l_binary64_3088`
191×	`cancel-sign-sub-inv_binary64_3113`
141×	`*-commutative_binary64_3078`
120×	`associate-*r/_binary64_3089`
108×	`distribute-lft-out_binary64_3098`
99×	`distribute-lft-out--_binary64_3099`
79×	`distribute-rgt-out--_binary64_3101`
75×	`sub-neg_binary64_3140`
72×	`associate-r_binary64_3087`
67×	`times-frac_binary64_3153`
65×	`distribute-rgt-out_binary64_3100`
50×	`unswap-sqr_binary64_3115` `distribute-rgt-neg-in_binary64_3105`
47×	`*-rgt-identity_binary64_3137`
44×	`exp-prod_binary64_3199`
42×	`sqr-pow_binary64_3119`
41×	`unsub-neg_binary64_3141`
38×	`associate-+l-_binary64_3082`
37×	`distribute-lft-neg-in_binary64_3104`
36×	`*-lft-identity_binary64_3136`
33×	`distribute-neg-frac_binary64_3111`
30×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
29×	`associate--l-_binary64_3085`
28×	`log-prod_binary64_3233` `/-rgt-identity_binary64_3138` `distribute-rgt-in_binary64_3097`
25×	`sub0-neg_binary64_3134` `+-commutative_binary64_3077`
21×	`pow-sqr_binary64_3120` `swap-sqr_binary64_3114`
20×	`log-div_binary64_3234` `cube-prod_binary64_3175`
18×	`log-pow_binary64_3236` `distribute-lft-in_binary64_3096` `associate--r+_binary64_3083`
17×	`pow-plus_binary64_3210`
16×	`div-exp_binary64_3198` `prod-exp_binary64_3196` `distribute-neg-out_binary64_3109`
15×	`+-lft-identity_binary64_3131` `associate--r-_binary64_3086`
14×	`exp-sum_binary64_3193` `cube-div_binary64_3176` `associate--l+_binary64_3084`
13×	`distribute-rgt-neg-out_binary64_3107`
11×	`distribute-lft-neg-out_binary64_3106`
10×	`cube-unmult_binary64_3184` `distribute-neg-in_binary64_3108` `associate-+r-_binary64_3081`
9×	`exp-diff_binary64_3195` `mul0-lft_binary64_3129`
8×	`mul0-rgt_binary64_3130` `distribute-rgt1-in_binary64_3103`
6×	`sqr-neg_binary64_3161`
5×	`log-rec_binary64_3235` `pow-base-1_binary64_3207` `cube-neg_binary64_3174`
4×	`rec-exp_binary64_3197` `--rgt-identity_binary64_3133` `div0_binary64_3128` `distribute-frac-neg_binary64_3110` `count-2_binary64_3095`
3×	`unpow3_binary64_3213` `rem-log-exp_binary64_3188` `cube-mult_binary64_3177` `+-inverses_binary64_3126` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079`
2×	`remove-double-neg_binary64_3135` `+-rgt-identity_binary64_3132`
1×	`exp-lft-sqr_binary64_3202` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `difference-of-sqr-1_binary64_3117` `cancel-sign-sub_binary64_3112`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-exp-log_binary64_3187` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `mul-1-neg_binary64_3139` `*-inverses_binary64_3127` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-squares_binary64_3116` `distribute-lft1-in_binary64_3102`

Counts

147 → 371

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	216	2649
1	434	2481
2	1064	2481
3	2676	2481
4	2963	2481
5	3827	2481

prune1.1s (5.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	371	0	371
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	371	4	375

Error

0.1b

Counts

375 → 4

Compiler

Compiled 20024 to 6024 computations (69.9% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

30.4b	(cbrt.f64 (.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (.f64 ew (sin.f64 t))) (.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (.f64 ew (sin.f64 t))) (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (*.f64 ew (sin.f64 t))))))
34.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
34.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
34.6b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite143.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`cos-atan_binary64_3326` `associate-*l/_binary64_3090`
7×	`cbrt-div_binary64_3179`
5×	`frac-times_binary64_3157` `associate-*r/_binary64_3089`
4×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
1×	`pow1/3_binary64_3229` `cbrt-prod_binary64_3178` `cube-unmult_binary64_3184` `rem-cbrt-cube_binary64_3171`

Counts

4 → 41

Calls

4 calls:

29.0ms	(cbrt.f64 (.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (.f64 ew (sin.f64 t))) (.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (.f64 ew (sin.f64 t))) (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (*.f64 ew (sin.f64 t))))))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 2873 to 341 computations (88.1% saved)

series1.4s (6.7%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

566.0ms	(cbrt.f64 (.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (.f64 ew (sin.f64 t))) (.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (.f64 ew (sin.f64 t))) (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (*.f64 ew (sin.f64 t))))))
265.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
264.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
246.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 5724 to 1764 computations (69.2% saved)

simplify318.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

465×	`distribute-lft-out--_binary64_3099`
383×	`associate-/l/_binary64_3094`
382×	`distribute-rgt-neg-in_binary64_3105`
369×	`cancel-sign-sub-inv_binary64_3113`
312×	`distribute-lft-neg-in_binary64_3104`
255×	`times-frac_binary64_3153`
254×	`sub-neg_binary64_3140`
247×	`*-commutative_binary64_3078`
149×	`distribute-rgt-out_binary64_3100`
121×	`associate-r_binary64_3087`
104×	`distribute-rgt-out--_binary64_3101`
103×	`sqr-pow_binary64_3119`
94×	`neg-mul-1_binary64_3143` `distribute-lft-out_binary64_3098`
93×	`neg-sub0_binary64_3142`
89×	`associate-l_binary64_3088`
85×	`distribute-rgt-in_binary64_3097`
80×	`unswap-sqr_binary64_3115`
77×	`distribute-lft-in_binary64_3096`
64×	`associate-/l*_binary64_3092`
63×	`distribute-neg-in_binary64_3108`
62×	`associate-*l/_binary64_3090`
59×	`pow-sqr_binary64_3120`
47×	`associate-*r/_binary64_3089`
42×	`associate-/r*_binary64_3091`
40×	`unsub-neg_binary64_3141`
38×	`associate-/r/_binary64_3093`
36×	`cube-prod_binary64_3175` `associate-+l-_binary64_3082`
35×	`exp-prod_binary64_3199` `+-commutative_binary64_3077`
34×	`log-prod_binary64_3233`
28×	`associate--l+_binary64_3084`
26×	`swap-sqr_binary64_3114` `associate-+l+_binary64_3080`
23×	`*-lft-identity_binary64_3136`
21×	`remove-double-neg_binary64_3135` `distribute-rgt-neg-out_binary64_3107` `associate-+r+_binary64_3079`
18×	`*-rgt-identity_binary64_3137` `distribute-lft-neg-out_binary64_3106` `associate-+r-_binary64_3081`
16×	`associate--r+_binary64_3083`
14×	`+-rgt-identity_binary64_3132`
13×	`sub0-neg_binary64_3134`
10×	`distribute-neg-out_binary64_3109`
6×	`log-pow_binary64_3236` `unpow3_binary64_3213` `cube-unmult_binary64_3184` `/-rgt-identity_binary64_3138` `associate--l-_binary64_3085`
5×	`pow-plus_binary64_3210` `cube-mult_binary64_3177`
4×	`prod-exp_binary64_3196` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129`
3×	`rem-cbrt-cube_binary64_3171` `distribute-rgt1-in_binary64_3103`
2×	`exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `mul-1-neg_binary64_3139` `--rgt-identity_binary64_3133` `cancel-sign-sub_binary64_3112` `count-2_binary64_3095` `associate--r-_binary64_3086`
1×	`1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-log-exp_binary64_3188` `rem-3cbrt-lft_binary64_3172` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `+-lft-identity_binary64_3131` `*-inverses_binary64_3127` `distribute-lft1-in_binary64_3102`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-rec_binary64_3235` `log-div_binary64_3234` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-exp-log_binary64_3187` `cube-div_binary64_3176` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `div-sub_binary64_3152` `div0_binary64_3128` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110`

Counts

80 → 277

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	1978
1	187	1780
2	606	1744
3	1188	1744
4	2691	1744

prune544.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	276	1	277
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	277	4	281

Error

0.1b

Counts

281 → 4

Compiler

Compiled 15064 to 1888 computations (87.5% saved)

regimes466.0ms (2.2%)

Accuracy

Total 0.0b remaining (23.9%)

Threshold costs 0.0b (23.9%)

Compiler

Compiled 5726 to 3144 computations (45.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_3078`
1×	`+-commutative_binary64_3077`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `unpow1_binary64_3205` `e-exp-1_binary64_3192` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `unsub-neg_binary64_3141` `sub-neg_binary64_3140` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `cancel-sign-sub-inv_binary64_3113` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-neg-in_binary64_3108` `distribute-rgt-neg-out_binary64_3107` `distribute-lft-neg-out_binary64_3106` `distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	27	46

Proof

(fabs f64 (+ f64 (* f64 (sin f64 h0) (* f64 h1 (cos f64 (atan f64 (/ f64 h2 (* f64 h1 (tan f64 h0))))))) (* f64 (* f64 h2 (cos f64 h0)) (sin f64 (atan f64 (/ f64 (/ f64 h2 h1) (tan f64 h0)))))))

end0.0ms (0%)

sample5.0s (23.5%)

Algorithm

1×

intervals

Results

2.1s	1954×	body	1024	valid
856.0ms	4480×	body	128	valid
596.0ms	1010×	body	512	valid
215.0ms	551×	body	256	valid
8.0ms	5×	body	2048	valid

Compiler

Compiled 1179 to 653 computations (44.6% saved)

Details

analyze2.1s (9.7%)

sample133.0ms (0.6%)

simplify154.0ms (0.7%)

prune6.0ms (0%)

localize30.0ms (0.1%)

rewrite302.0ms (1.4%)

series2.0s (9.2%)

simplify447.0ms (2.1%)

prune857.0ms (4%)

localize27.0ms (0.1%)

rewrite362.0ms (1.7%)

series1.6s (7.7%)

simplify517.0ms (2.4%)

prune1.1s (5.2%)

localize40.0ms (0.2%)

rewrite303.0ms (1.4%)

series1.7s (8.2%)

simplify472.0ms (2.2%)

prune1.1s (5.4%)

localize37.0ms (0.2%)

rewrite143.0ms (0.7%)

series1.4s (6.7%)

simplify318.0ms (1.5%)

prune544.0ms (2.6%)

regimes466.0ms (2.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.0s (23.5%)

Profiling