Details

analyze269.0ms (8.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample62.0ms (2%)

Algorithm

1×

intervals

Results

20.0ms	127×	body	2048	nan
15.0ms	256×	body	128	valid
8.0ms	64×	body	1024	nan
3.0ms	36×	body	512	nan
1.0ms	15×	body	128	nan
0.0ms	8×	body	256	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify367.0ms (11.9%)

Algorithm

1×	egg-herbie

Rules

698×	`*-commutative_binary64_3078`
654×	`distribute-lft-neg-in_binary64_3104`
566×	`unsub-neg_binary64_3141`
506×	`sub-neg_binary64_3140`
455×	`distribute-rgt1-in_binary64_3103`
452×	`distribute-rgt-neg-in_binary64_3105`
381×	`neg-sub0_binary64_3142`
362×	`neg-mul-1_binary64_3143`
344×	`distribute-neg-in_binary64_3108`
334×	`distribute-rgt-out--_binary64_3101`
330×	`distribute-rgt-out_binary64_3100`
293×	`+-commutative_binary64_3077`
244×	`distribute-rgt-in_binary64_3097`
190×	`cancel-sign-sub-inv_binary64_3113`
179×	`distribute-lft-neg-out_binary64_3106`
151×	`distribute-neg-out_binary64_3109`
146×	`associate-+l-_binary64_3082`
103×	`associate--r+_binary64_3083`
97×	`distribute-lft1-in_binary64_3102`
95×	`associate-+r-_binary64_3081`
93×	`distribute-lft-in_binary64_3096`
90×	`associate-+l+_binary64_3080`
89×	`associate--l+_binary64_3084`
80×	`distribute-rgt-neg-out_binary64_3107` `distribute-lft-out--_binary64_3099`
79×	`cancel-sign-sub_binary64_3112`
69×	`associate--r-_binary64_3086`
64×	`associate-+r+_binary64_3079`
62×	`associate--l-_binary64_3085`
56×	`remove-double-neg_binary64_3135`
50×	`associate-r_binary64_3087`
45×	`distribute-lft-out_binary64_3098` `associate-l_binary64_3088`
42×	`*-rgt-identity_binary64_3137`
33×	`sub0-neg_binary64_3134`
24×	`*-lft-identity_binary64_3136`
13×	`mul0-lft_binary64_3129`
12×	`mul0-rgt_binary64_3130`
9×	`+-lft-identity_binary64_3131`
8×	`log-prod_binary64_3233`
7×	`mul-1-neg_binary64_3139` `+-rgt-identity_binary64_3132` `swap-sqr_binary64_3114`
6×	`+-inverses_binary64_3126`
5×	`sqr-neg_binary64_3161` `count-2_binary64_3095`
2×	`--rgt-identity_binary64_3133`
1×	`1-exp_binary64_3191` `cube-unmult_binary64_3184` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `unswap-sqr_binary64_3115`
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` `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` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `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` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `times-frac_binary64_3153` `div-sub_binary64_3152` `/-rgt-identity_binary64_3138` `div0_binary64_3128` `-inverses_binary64_3127` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `pow-sqr_binary64_3120` `sqr-pow_binary64_3119` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate-*r/_binary64_3089`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	16	14
2	23	14
3	46	14
4	72	14
5	197	14
6	299	14
7	591	14
8	939	14
9	1577	14
10	1651	14
11	2357	14
12	2520	14
13	2742	14
14	3177	14
15	3518	14
16	3753	14
17	3812	14
18	3856	14
19	3872	14
20	4784	14

prune3.0ms (0.1%)

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

34.1b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
31.8b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite49.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`sqrt-prod_binary64_3163` `*-un-lft-identity_binary64_3147`
5×	`add-sqr-sqrt_binary64_3169`
4×	`add-log-exp_binary64_3186`
3×	`pow1_binary64_3208` `add-cube-cbrt_binary64_3182`
2×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-div_binary64_3164` `difference-of-squares_binary64_3116`
1×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `flip3--_binary64_3151` `flip--_binary64_3122` `difference-of-sqr-1_binary64_3117` `rem-sqrt-square_binary64_3160` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `+-commutative_binary64_3077`

Counts

2 → 30

Calls

2 calls:

8.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
6.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 512 to 315 computations (38.5% saved)

series78.0ms (2.5%)

Error

Counts

2 → 12

Calls

2 calls:

36.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
29.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 311 to 264 computations (15.1% saved)

simplify147.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

397×	`sub-neg_binary64_3140`
279×	`distribute-rgt-in_binary64_3097`
278×	`associate-l_binary64_3088`
263×	`cancel-sign-sub-inv_binary64_3113`
239×	`unsub-neg_binary64_3141`
213×	`associate-+l+_binary64_3080`
212×	`associate-r_binary64_3087`
211×	`distribute-lft-in_binary64_3096`
184×	`unswap-sqr_binary64_3115`
180×	`associate-+r+_binary64_3079`
173×	`distribute-neg-frac_binary64_3111`
146×	`associate-*l/_binary64_3090`
145×	`associate-+l-_binary64_3082`
100×	`+-commutative_binary64_3077`
91×	`*-commutative_binary64_3078`
90×	`neg-mul-1_binary64_3143`
89×	`associate-+r-_binary64_3081`
85×	`associate-/r*_binary64_3091`
84×	`neg-sub0_binary64_3142`
83×	`sqr-pow_binary64_3119`
82×	`cancel-sign-sub_binary64_3112`
77×	`sub0-neg_binary64_3134`
75×	`associate-*r/_binary64_3089`
74×	`div-sub_binary64_3152`
72×	`associate--r+_binary64_3083`
71×	`associate--l+_binary64_3084`
65×	`distribute-rgt-out_binary64_3100`
62×	`distribute-neg-out_binary64_3109`
52×	`*-rgt-identity_binary64_3137`
50×	`pow-sqr_binary64_3120` `associate-/l*_binary64_3092`
45×	`times-frac_binary64_3153`
42×	`distribute-neg-in_binary64_3108`
38×	`distribute-rgt-neg-in_binary64_3105`
36×	`+-rgt-identity_binary64_3132`
34×	`associate-/r/_binary64_3093`
32×	`associate-/l/_binary64_3094`
26×	`associate--l-_binary64_3085`
25×	`*-lft-identity_binary64_3136`
24×	`pow-plus_binary64_3210`
23×	`distribute-lft-neg-in_binary64_3104` `distribute-rgt-out--_binary64_3101`
21×	`distribute-lft-neg-out_binary64_3106`
16×	`associate--r-_binary64_3086`
15×	`cube-prod_binary64_3175`
14×	`remove-double-neg_binary64_3135`
12×	`cube-unmult_binary64_3184` `distribute-rgt1-in_binary64_3103`
11×	`distribute-frac-neg_binary64_3110`
10×	`exp-prod_binary64_3199` `/-rgt-identity_binary64_3138` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117`
9×	`distribute-rgt-neg-out_binary64_3107`
7×	`--rgt-identity_binary64_3133`
6×	`log-prod_binary64_3233` `mul-1-neg_binary64_3139`
5×	`unpow3_binary64_3213` `pow-base-1_binary64_3207` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `distribute-lft-out_binary64_3098`
4×	`exp-sum_binary64_3193` `cube-mult_binary64_3177` `difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`
3×	`sqr-neg_binary64_3161` `+-lft-identity_binary64_3131` `div0_binary64_3128` `+-inverses_binary64_3126` `remove-double-div_binary64_3123` `swap-sqr_binary64_3114` `distribute-lft1-in_binary64_3102` `count-2_binary64_3095`
2×	`exp-diff_binary64_3195` `cube-div_binary64_3176` `cube-neg_binary64_3174` `rem-sqrt-square_binary64_3160`
1×	`prod-exp_binary64_3196` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-square-sqrt_binary64_3159` `*-inverses_binary64_3127`
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` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `exp-to-pow_binary64_3209` `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-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `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` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124`

Counts

42 → 96

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	637
1	196	576
2	454	558
3	1260	555
4	3439	555

prune104.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	2	97

Error

Counts

97 → 2

Compiler

Compiled 1928 to 1233 computations (36% saved)

localize4.0ms (0.1%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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-/l/_binary64_3094 associate-/r/_binary64_3093 associate-/l*_binary64_3092 associate-/r*_binary64_3091 associate-*l/_binary64_3090 associate-*r/_binary64_3089 associate-*l*_binary64_3088 associate-*r*_binary64_3087 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 *-commutative_binary64_3078 +-commutative_binary64_3077

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Compiler

Compiled 0 to 0 computations (0% saved)

regimes43.0ms (1.4%)

Accuracy

Total 0.0b remaining (2.6%)

Threshold costs 0.0b (2.6%)

Compiler

Compiled 162 to 133 computations (17.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64_3077`
2×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `sub-neg_binary64_3140` `-rgt-identity_binary64_3137` `-commutative_binary64_3078`
1×	`1-exp_binary64_3191` `unsub-neg_binary64_3141` `distribute-rgt-neg-out_binary64_3107`
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` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `*-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-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	10	19
1	17	19
2	21	19
3	23	19
4	26	19
5	25	19

Proof

(log f64 (+ f64 h0 (* f64 (sqrt f64 (+ f64 h0 1)) (sqrt f64 (=> (- f64 h0 1))))))
sub-neg_binary64_3140 =>
(log f64 (+ f64 h0 (* f64 (sqrt f64 (+ f64 h0 1)) (sqrt f64 (+ f64 h0 (=> (neg f64 1)))))))
neg-mul-1_binary64_3143 =>
(log f64 (+ f64 h0 (* f64 (sqrt f64 (+ f64 h0 1)) (sqrt f64 (+ f64 h0 (=> (* f64 -1 1)))))))
*-rgt-identity_binary64_3137 =>
(log f64 (+ f64 h0 (* f64 (sqrt f64 (+ f64 h0 1)) (sqrt f64 (+ f64 h0 -1)))))

end0.0ms (0%)

sample1.9s (62.8%)

Algorithm

1×

intervals

Results

655.0ms	3981×	body	2048	nan
343.0ms	8000×	body	128	valid
250.0ms	2003×	body	1024	nan
91.0ms	1002×	body	512	nan
33.0ms	533×	body	256	nan
19.0ms	498×	body	128	nan
1.0ms	4×	body	4096	nan

Compiler

Compiled 64 to 54 computations (15.6% saved)

Details

analyze269.0ms (8.7%)

sample62.0ms (2%)

simplify367.0ms (11.9%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite49.0ms (1.6%)

series78.0ms (2.5%)

simplify147.0ms (4.8%)

prune104.0ms (3.4%)

localize4.0ms (0.1%)

rewrite1.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.3%)

prune1.0ms (0%)

regimes43.0ms (1.4%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.9s (62.8%)

Profiling