Details

analyze2.0s (23.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

1136×	`div-sub_binary64`
800×	`distribute-rgt-in_binary64`
780×	`distribute-lft-in_binary64`
561×	`distribute-rgt-neg-in_binary64`
525×	`cancel-sign-sub-inv_binary64`
466×	`sub-neg_binary64`
368×	`neg-mul-1_binary64`
364×	`associate-/r/_binary64`
354×	`times-frac_binary64`
334×	`distribute-lft-neg-in_binary64` `associate-/l/_binary64`
321×	`*-commutative_binary64`
298×	`neg-sub0_binary64`
262×	`distribute-lft-neg-out_binary64`
248×	`distribute-rgt-neg-out_binary64`
201×	`associate-/l*_binary64`
168×	`unsub-neg_binary64`
163×	`distribute-neg-frac_binary64`
160×	`associate-r_binary64`
157×	`associate-/r*_binary64`
151×	`distribute-frac-neg_binary64`
141×	`remove-double-neg_binary64`
140×	`+-lft-identity_binary64`
138×	`+-commutative_binary64`
133×	`associate--r+_binary64`
95×	`mul0-rgt_binary64`
92×	`mul0-lft_binary64`
85×	`*-lft-identity_binary64`
82×	`cancel-sign-sub_binary64` `distribute-neg-in_binary64`
69×	`div0_binary64`
64×	`associate-l_binary64`
57×	`associate-+l-_binary64`
50×	`*-rgt-identity_binary64`
49×	`sub0-neg_binary64`
45×	`/-rgt-identity_binary64`
33×	`--rgt-identity_binary64`
31×	`remove-double-div_binary64`
16×	`associate--l-_binary64`
12×	`associate-+l+_binary64`
10×	`mul-1-neg_binary64`
8×	`associate--r-_binary64`
6×	`tan-neg_binary64` `sin-neg_binary64`
4×	`+-rgt-identity_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
3×	`cos-neg_binary64`
1×	`1-exp_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	200
1	140	200
2	331	200
3	634	200
4	880	200
5	1111	200
6	1602	200
7	1775	200
8	2900	200
9	3316	200
10	3194	200
11	3147	200
12	3153	200
13	3159	200
14	3600	200
15	3902	200
16	3920	200
17	3958	200
18	4022	200
19	4052	200
20	4060	200
21	4060	200
22	5205	200
0	3	3
1	3	3

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
12.5%	87.4%	0.1%	7
12.5%	87.4%	0.1%	8
31.2%	68.6%	0.1%	9
31.2%	68.6%	0.1%	10
31.2%	68.6%	0.1%	11
40.6%	59.3%	0.1%	12
40.6%	59.3%	0.1%	13
40.6%	59.3%	0.1%	14

Compiler

Compiled 31 to 19 computations (38.7% saved)

sample125.0ms (1.4%)

Algorithm

1×

intervals

Results

72.0ms	79×	body	1024	valid
22.0ms	142×	body	128	valid
13.0ms	22×	body	512	valid
5.0ms	13×	body	256	valid

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify251.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

867×	`div-sub_binary64`
788×	`associate-/r/_binary64`
582×	`associate-/l*_binary64`
551×	`associate-/l/_binary64`
395×	`associate-/r*_binary64`
394×	`sub-neg_binary64`
326×	`distribute-neg-frac_binary64`
320×	`distribute-rgt-in_binary64`
308×	`distribute-lft-in_binary64`
300×	`unsub-neg_binary64`
279×	`times-frac_binary64`
203×	`distribute-rgt-neg-in_binary64`
189×	`cancel-sign-sub-inv_binary64`
166×	`*-commutative_binary64`
159×	`distribute-lft-neg-in_binary64`
127×	`neg-mul-1_binary64`
112×	`neg-sub0_binary64`
101×	`associate-*l/_binary64`
83×	`associate--r+_binary64`
80×	`+-commutative_binary64`
75×	`mul0-rgt_binary64`
72×	`distribute-frac-neg_binary64`
69×	`mul0-lft_binary64`
62×	`div0_binary64`
58×	`distribute-rgt-neg-out_binary64`
54×	`associate-r_binary64`
51×	`distribute-lft-neg-out_binary64`
41×	`associate-l_binary64`
36×	`remove-double-div_binary64`
33×	`/-rgt-identity_binary64`
22×	`distribute-neg-in_binary64`
17×	`*-lft-identity_binary64`
16×	`associate-*r/_binary64`
15×	`+-lft-identity_binary64`
13×	`*-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
9×	`--rgt-identity_binary64`
4×	`mul-1-neg_binary64`
3×	`associate--r-_binary64` `associate-+l+_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	41	50
2	90	50
3	170	50
4	234	50
5	296	50
6	385	50
7	504	50
8	735	50
9	897	50
10	1203	50
11	1069	50
12	1071	50
13	1103	50
14	1087	50
15	1087	50
16	1521	50
17	1977	50
18	1945	50
19	2001	50
20	2169	50
21	2265	50
22	2313	50
23	2353	50
24	2321	50
25	2321	50
26	1809	50
27	2105	50
28	1817	50
29	1817	50
30	1817	50
31	1604	50

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

1 → 1

Compiler

Compiled 30 to 18 computations (40% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 ew (cos.f64 t))
3.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
3.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.0b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite94.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`pow1_binary64` `times-frac_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
3×	`distribute-lft-neg-out_binary64` `distribute-frac-neg_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `tan-quot_binary64` `associate-r/_binary64` `associate-/l/_binary64` `associate-/l_binary64`
1×	`cos-atan_binary64` `atan-neg_binary64` `cos-neg_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
4.0ms	(*.f64 ew (cos.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

Compiler

Compiled 2553 to 456 computations (82.1% saved)

series218.0ms (2.5%)

Error

0.2b

Counts

4 → 36

Calls

4 calls:

70.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
69.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
43.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
25.0ms	(*.f64 ew (cos.f64 t))

Compiler

Compiled 2585 to 1675 computations (35.2% saved)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-/l*_binary64`
645×	`div-sub_binary64`
272×	`associate-/r*_binary64`
246×	`associate-/l/_binary64`
238×	`associate-*l/_binary64`
222×	`*-commutative_binary64`
171×	`associate-/r/_binary64`
163×	`associate-*r/_binary64`
139×	`distribute-frac-neg_binary64`
109×	`log-div_binary64`
107×	`distribute-lft-neg-out_binary64`
104×	`cube-div_binary64`
103×	`distribute-rgt-neg-out_binary64`
97×	`cancel-sign-sub-inv_binary64`
94×	`associate-l_binary64`
84×	`associate-r_binary64`
79×	`log-prod_binary64`
74×	`times-frac_binary64`
73×	`distribute-rgt-neg-in_binary64`
69×	`cube-prod_binary64`
63×	`distribute-lft-neg-in_binary64`
58×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64`
41×	`sub-neg_binary64`
34×	`exp-prod_binary64`
29×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
24×	`+-commutative_binary64`
23×	`distribute-neg-frac_binary64`
22×	`swap-sqr_binary64`
20×	`sqr-pow_binary64`
18×	`*-rgt-identity_binary64` `associate--l+_binary64`
15×	`associate-+l-_binary64` `associate-+l+_binary64`
14×	`unpow3_binary64`
13×	`cube-unmult_binary64`
12×	`cube-mult_binary64` `associate-+r+_binary64`
11×	`distribute-lft-out--_binary64` `associate--r+_binary64` `associate-+r-_binary64`
10×	`log-rec_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64` `distribute-rgt-out_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`exp-diff_binary64`
7×	`sqr-neg_binary64` `div0_binary64`
6×	`exp-sum_binary64` `mul-1-neg_binary64` `associate--l-_binary64`
5×	`cube-neg_binary64` `unsub-neg_binary64`
4×	`unswap-sqr_binary64` `distribute-neg-in_binary64`
3×	`remove-double-neg_binary64`
2×	`unpow1/2_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

109 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1624
1	290	1414
2	1062	1408
3	3775	1408
4	5307	1408

prune43.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Error

0.1b

Counts

78 → 3

Compiler

Compiled 1502 to 323 computations (78.5% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 ew)
3.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
3.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.0b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite97.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`times-frac_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
3×	`distribute-lft-neg-out_binary64` `distribute-frac-neg_binary64` `cbrt-prod_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `tan-quot_binary64` `associate-r/_binary64` `associate-/l/_binary64` `associate-/l_binary64`
1×	`cos-atan_binary64` `atan-neg_binary64` `cos-neg_binary64` `pow1/3_binary64`

Counts

4 → 66

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
1.0ms	(cbrt.f64 ew)

Compiler

Compiled 2822 to 449 computations (84.1% saved)

series219.0ms (2.5%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

74.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
70.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
45.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
21.0ms	(cbrt.f64 ew)

Compiler

Compiled 2675 to 1676 computations (37.3% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-/r*_binary64`
532×	`associate-l_binary64`
367×	`associate-*l/_binary64`
317×	`associate-/l/_binary64`
269×	`associate-*r/_binary64`
214×	`log-div_binary64`
206×	`associate-/r/_binary64`
203×	`cube-div_binary64`
160×	`log-prod_binary64`
153×	`distribute-frac-neg_binary64`
105×	`distribute-lft-neg-out_binary64`
104×	`distribute-rgt-neg-out_binary64`
101×	`div-sub_binary64`
79×	`times-frac_binary64`
75×	`associate-/l*_binary64`
53×	`neg-sub0_binary64`
47×	`distribute-rgt-neg-in_binary64`
45×	`neg-mul-1_binary64`
44×	`exp-prod_binary64`
42×	`distribute-lft-neg-in_binary64` `associate-r_binary64`
32×	`*-commutative_binary64`
28×	`sub-neg_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
27×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64`
23×	`unpow3_binary64` `unswap-sqr_binary64`
22×	`swap-sqr_binary64`
21×	`cube-mult_binary64`
19×	`cube-prod_binary64`
15×	`cube-unmult_binary64`
14×	`sqr-pow_binary64`
10×	`pow-plus_binary64`
9×	`exp-diff_binary64`
8×	`*-rgt-identity_binary64`
7×	`div0_binary64`
6×	`log-pow_binary64` `log-rec_binary64`
5×	`mul-1-neg_binary64`
4×	`sqr-neg_binary64` `+-commutative_binary64`
3×	`exp-sum_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `pow-sqr_binary64`
2×	`unpow1/3_binary64` `distribute-neg-in_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `count-2_binary64` `associate-+l+_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`

Counts

96 → 70

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	1421
1	211	1220
2	876	1220
3	4290	1220
4	5079	1220

prune45.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Error

0.1b

Counts

73 → 3

Compiler

Compiled 1608 to 290 computations (82% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
3.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.0b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
39.2b	(cbrt.f64 (pow.f64 (*.f64 ew (cos.f64 t)) 3))

rewrite112.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
8×	`cbrt-prod_binary64`
6×	`times-frac_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
3×	`distribute-lft-neg-out_binary64` `distribute-frac-neg_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `tan-quot_binary64` `associate-r/_binary64` `associate-/l/_binary64` `associate-/l_binary64`
1×	`pow1/3_binary64` `unpow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `sqr-pow_binary64` `rem-cbrt-cube_binary64` `cos-atan_binary64` `atan-neg_binary64` `cos-neg_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 ew (cos.f64 t)) 3))
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

Compiler

Compiled 2793 to 713 computations (74.5% saved)

series238.0ms (2.7%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

73.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
73.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
48.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
29.0ms	(cbrt.f64 (pow.f64 (*.f64 ew (cos.f64 t)) 3))

Compiler

Compiled 2807 to 1872 computations (33.3% saved)

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

783×	`times-frac_binary64`
773×	`div-sub_binary64`
698×	`associate-/l*_binary64`
238×	`associate-*l/_binary64`
223×	`associate-/r*_binary64`
217×	`associate-/l/_binary64`
152×	`distribute-frac-neg_binary64`
144×	`associate-/r/_binary64`
105×	`distribute-lft-neg-out_binary64`
98×	`distribute-rgt-neg-out_binary64`
93×	`log-div_binary64`
83×	`cube-div_binary64`
80×	`cancel-sign-sub-inv_binary64`
70×	`distribute-rgt-neg-in_binary64`
69×	`associate-l_binary64`
67×	`log-prod_binary64`
66×	`associate-r_binary64`
62×	`cube-prod_binary64` `neg-sub0_binary64`
59×	`distribute-lft-neg-in_binary64`
52×	`neg-mul-1_binary64` `*-commutative_binary64`
41×	`sub-neg_binary64`
28×	`distribute-rgt-in_binary64` `associate-*r/_binary64`
26×	`distribute-lft-in_binary64`
24×	`sqr-pow_binary64`
21×	`distribute-neg-frac_binary64`
20×	`exp-prod_binary64`
18×	`unpow3_binary64`
16×	`swap-sqr_binary64`
13×	`unswap-sqr_binary64`
12×	`cube-mult_binary64`
11×	`cube-unmult_binary64` `+-commutative_binary64`
8×	`exp-diff_binary64` `*-rgt-identity_binary64` `associate--l+_binary64`
7×	`log-rec_binary64` `mul-1-neg_binary64` `div0_binary64`
5×	`sqr-neg_binary64` `unsub-neg_binary64` `distribute-rgt-out_binary64`
4×	`rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
3×	`cube-neg_binary64` `rem-cbrt-cube_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `associate-+l+_binary64`
2×	`distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`

Counts

108 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1653
1	296	1469
2	995	1463
3	4532	1463
4	6224	1463

prune72.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	80	5	85

Error

0.1b

Counts

85 → 5

Compiler

Compiled 1963 to 509 computations (74.1% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 (cos.f64 t) ew))
3.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
3.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.0b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite112.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`times-frac_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
3×	`distribute-lft-neg-out_binary64` `distribute-frac-neg_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `tan-quot_binary64` `associate-r/_binary64` `associate-/l/_binary64` `associate-/l_binary64`
1×	`cos-atan_binary64` `atan-neg_binary64` `cos-neg_binary64` `pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 64

Calls

4 calls:

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

Compiler

Compiled 3132 to 426 computations (86.4% saved)

series250.0ms (2.8%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

71.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
71.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
48.0ms	(cbrt.f64 (*.f64 (cos.f64 t) ew))
45.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

Compiler

Compiled 3507 to 1845 computations (47.4% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
706×	`div-sub_binary64`
672×	`associate-/l*_binary64`
279×	`associate-/r*_binary64`
242×	`associate-*l/_binary64`
218×	`associate-/l/_binary64`
167×	`associate-*r/_binary64`
146×	`distribute-frac-neg_binary64` `associate-/r/_binary64`
103×	`distribute-lft-neg-out_binary64`
100×	`distribute-rgt-neg-out_binary64`
91×	`log-div_binary64`
87×	`log-prod_binary64`
79×	`cube-div_binary64`
58×	`cube-prod_binary64`
53×	`neg-sub0_binary64`
45×	`neg-mul-1_binary64` `associate-l_binary64`
43×	`exp-sum_binary64`
39×	`exp-prod_binary64`
38×	`*-commutative_binary64`
37×	`sub-neg_binary64`
35×	`distribute-rgt-neg-in_binary64`
34×	`associate-r_binary64`
33×	`distribute-rgt-in_binary64`
32×	`distribute-lft-in_binary64`
31×	`distribute-lft-neg-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
23×	`distribute-neg-frac_binary64`
21×	`sqr-pow_binary64`
18×	`exp-diff_binary64`
13×	`unpow3_binary64` `cube-unmult_binary64`
12×	`swap-sqr_binary64`
8×	`log-rec_binary64` `*-rgt-identity_binary64` `unswap-sqr_binary64`
7×	`unpow1/3_binary64` `cube-mult_binary64` `div0_binary64` `+-commutative_binary64`
6×	`log-pow_binary64`
5×	`rem-exp-log_binary64` `sqr-neg_binary64` `mul-1-neg_binary64`
4×	`exp-neg_binary64` `remove-double-neg_binary64` `pow-sqr_binary64`
3×	`exp-to-pow_binary64` `cube-neg_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64`
2×	`distribute-neg-in_binary64` `associate--r-_binary64` `associate--l+_binary64`
1×	`rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `count-2_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r+_binary64`

Counts

97 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1480
1	244	1283
2	824	1282
3	4318	1276
4	5860	1276

prune58.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	75	6	81

Error

0.1b

Counts

81 → 6

Compiler

Compiled 1994 to 294 computations (85.3% saved)

regimes388.0ms (4.4%)

Accuracy

Total 0.0b remaining (23.2%)

Threshold costs 0.0b (23.2%)

Compiler

Compiled 6228 to 3788 computations (39.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
9×	`sub-neg_binary64` `+-commutative_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
5×	`distribute-rgt-neg-in_binary64`
4×	`distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64`
1×	`distribute-frac-neg_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	38	48
2	59	48
3	74	48
4	85	48
5	89	48
6	89	48

end1.0ms (0%)

Compiler: Compiled 29 to 21 computations (27.6% saved)

sample4.0s (45.1%)

Algorithm

1×

intervals

Results

1.8s	1966×	body	1024	valid
734.0ms	4498×	body	128	valid
627.0ms	1014×	body	512	valid
196.0ms	513×	body	256	valid
13.0ms	9×	body	2048	valid

Compiler

Compiled 305 to 187 computations (38.7% saved)

Details

analyze2.0s (23.2%)

sample125.0ms (1.4%)

simplify251.0ms (2.9%)

prune2.0ms (0%)

localize27.0ms (0.3%)

rewrite94.0ms (1.1%)

series218.0ms (2.5%)

simplify86.0ms (1%)

prune43.0ms (0.5%)

localize26.0ms (0.3%)

rewrite97.0ms (1.1%)

series219.0ms (2.5%)

simplify85.0ms (1%)

prune45.0ms (0.5%)

localize25.0ms (0.3%)

rewrite112.0ms (1.3%)

series238.0ms (2.7%)

simplify97.0ms (1.1%)

prune72.0ms (0.8%)

localize27.0ms (0.3%)

rewrite112.0ms (1.3%)

series250.0ms (2.8%)

simplify85.0ms (1%)

prune58.0ms (0.7%)

regimes388.0ms (4.4%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample4.0s (45.1%)

Profiling