Details

analyze262.0ms (1.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
3.1%	3.1%	93.8%	2
3.1%	3.1%	93.8%	3
4.7%	1.6%	93.8%	4
4.7%	1.6%	93.8%	5
5.5%	0.8%	93.8%	6
5.5%	0.8%	93.8%	7
5.8%	0.4%	93.8%	8
5.8%	0.4%	93.8%	9
6%	0.2%	93.8%	10
6%	0.2%	93.8%	11
6.1%	0.1%	93.8%	12
6.1%	0.1%	93.8%	13
6.2%	0%	93.8%	14

Compiler

Compiled 28 to 26 computations (7.1% saved)

sample46.0ms (0.3%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 47 to 47 computations (0% saved)

simplify343.0ms (2%)

Algorithm

1×	egg-herbie

Rules

421×	`sqr-pow_binary64`
339×	`pow-sqr_binary64`
297×	`exp-prod_binary64`
284×	`unswap-sqr_binary64`
283×	`associate-l_binary64`
282×	`associate-/r*_binary64`
276×	`associate-/l*_binary64`
199×	`*-commutative_binary64`
185×	`associate-r_binary64`
175×	`distribute-rgt-out--_binary64`
163×	`sub-neg_binary64`
160×	`pow-plus_binary64`
137×	`associate-*r/_binary64`
127×	`cube-prod_binary64`
125×	`swap-sqr_binary64`
122×	`associate-/l/_binary64` `associate-/r/_binary64`
120×	`associate-*l/_binary64`
115×	`distribute-rgt-in_binary64`
113×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-out_binary64`
105×	`associate--l+_binary64`
89×	`distribute-rgt-neg-in_binary64`
77×	`associate--r+_binary64`
64×	`exp-sum_binary64`
60×	`*-lft-identity_binary64`
59×	`distribute-lft-in_binary64` `associate-+l+_binary64`
58×	`distribute-lft-out_binary64`
57×	`*-rgt-identity_binary64`
55×	`distribute-lft-out--_binary64`
46×	`exp-diff_binary64`
39×	`pow-base-1_binary64`
36×	`unpow3_binary64`
35×	`div-sub_binary64`
34×	`cube-mult_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
32×	`associate-+r+_binary64`
28×	`distribute-lft-neg-in_binary64`
25×	`unsub-neg_binary64` `distribute-rgt1-in_binary64`
22×	`difference-of-squares_binary64`
19×	`cube-div_binary64`
18×	`distribute-neg-in_binary64`
13×	`prod-exp_binary64`
12×	`times-frac_binary64` `+-inverses_binary64`
9×	`div-exp_binary64` `cube-unmult_binary64`
8×	`exp-lft-sqr_binary64` `+-commutative_binary64`
6×	`remove-double-neg_binary64` `distribute-lft1-in_binary64`
5×	`rem-sqrt-square_binary64` `/-rgt-identity_binary64`
4×	`exp-sqrt_binary64` `difference-of-sqr--1_binary64` `distribute-neg-frac_binary64` `count-2_binary64`
3×	`rec-exp_binary64` `+-rgt-identity_binary64`
2×	`difference-of-sqr-1_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64` `remove-double-div_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` `unpow2_binary64` `exp-to-pow_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `lft-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

1 → 3

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	29
1	37	26
2	68	26
3	152	26
4	311	26
5	819	26
6	1595	26
7	1890	26
8	2253	26
9	3629	26

prune12.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

4 → 2

Compiler

Compiled 82 to 72 computations (12.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))))
0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.2b	(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
0.3b	(*.f64 PI.f64 u2)

rewrite139.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`times-frac_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
5×	`sqrt-prod_binary64`
4×	`associate-/l*_binary64`
3×	`associate-l_binary64` `associate-r_binary64` `associate-/r*_binary64`
2×	`pow-prod-down_binary64` `sqrt-pow1_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `pow1/2_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

5.0ms	(*.f64 PI.f64 u2)
5.0ms	(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
3.0ms	(+.f64 1/2 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))))
3.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

Compiler

Compiled 1710 to 1226 computations (28.3% saved)

series794.0ms (4.6%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

454.0ms	(+.f64 1/2 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))))
150.0ms	(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
120.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
43.0ms	(*.f64 PI.f64 u2)

Compiler

Compiled 1008 to 901 computations (10.6% saved)

simplify213.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

274×	`*-commutative_binary64`
258×	`distribute-rgt-neg-in_binary64`
244×	`associate-*l/_binary64`
241×	`distribute-lft-neg-in_binary64`
227×	`distribute-rgt-in_binary64`
203×	`cancel-sign-sub-inv_binary64` `associate-*r/_binary64`
199×	`distribute-lft-in_binary64`
183×	`associate-/l*_binary64`
178×	`distribute-neg-frac_binary64`
174×	`unswap-sqr_binary64`
159×	`times-frac_binary64`
133×	`associate-r_binary64`
132×	`sub-neg_binary64`
120×	`associate-l_binary64`
101×	`sqr-pow_binary64`
88×	`neg-mul-1_binary64`
84×	`neg-sub0_binary64` `distribute-lft-out--_binary64`
78×	`associate-/l/_binary64`
68×	`associate-/r/_binary64`
66×	`distribute-rgt-out_binary64`
57×	`pow-sqr_binary64`
53×	`associate-/r*_binary64`
46×	`div-sub_binary64` `+-commutative_binary64`
45×	`distribute-lft-out_binary64`
42×	`distribute-rgt-out--_binary64` `associate-+l+_binary64`
41×	`unsub-neg_binary64`
38×	`associate--l+_binary64`
34×	`distribute-lft-neg-out_binary64`
32×	`associate-+r+_binary64`
31×	`/-rgt-identity_binary64`
26×	`exp-prod_binary64` `cube-prod_binary64`
25×	`sub0-neg_binary64`
24×	`log-div_binary64` `log-prod_binary64` `cube-div_binary64`
21×	`associate-+l-_binary64`
20×	`swap-sqr_binary64`
19×	`associate-+r-_binary64`
16×	`distribute-rgt-neg-out_binary64`
15×	`*-rgt-identity_binary64`
14×	`associate--l-_binary64`
12×	`+-rgt-identity_binary64` `associate--r+_binary64`
11×	`pow-plus_binary64` `+-lft-identity_binary64`
10×	`*-lft-identity_binary64`
9×	`distribute-neg-in_binary64`
7×	`unpow3_binary64` `cube-unmult_binary64`
6×	`exp-sqrt_binary64` `cube-mult_binary64` `distribute-neg-out_binary64`
5×	`log-pow_binary64`
4×	`log-rec_binary64` `exp-lft-sqr_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `associate--r-_binary64`
1×	`div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-square-sqrt_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `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` `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` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_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` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

89 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	1775
1	411	1639
2	1171	1599
3	3069	1579

prune362.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	136	6	142

Error

Counts

142 → 6

Compiler

Compiled 4967 to 3719 computations (25.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6)) (cos.f64 (.f64 2 (*.f64 PI.f64 u2)))))
0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.3b	(*.f64 PI.f64 u2)
0.3b	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6))

rewrite148.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`sqrt-prod_binary64`
18×	`associate-l_binary64`
16×	`pow1_binary64` `add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
6×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `associate-r_binary64`
2×	`neg-mul-1_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

9.0ms	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6))
4.0ms	(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6)) (cos.f64 (.f64 2 (*.f64 PI.f64 u2)))))
4.0ms	(*.f64 PI.f64 u2)
2.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))

Compiler

Compiled 2070 to 1258 computations (39.2% saved)

series871.0ms (5%)

Error

Counts

4 → 18

Calls

4 calls:

525.0ms	(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6)) (cos.f64 (.f64 2 (*.f64 PI.f64 u2)))))
171.0ms	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6))
115.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
34.0ms	(*.f64 PI.f64 u2)

Compiler

Compiled 1105 to 952 computations (13.8% saved)

simplify288.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

522×	`distribute-rgt-neg-in_binary64`
416×	`cancel-sign-sub-inv_binary64`
262×	`times-frac_binary64`
242×	`associate-r_binary64`
232×	`neg-sub0_binary64`
231×	`associate-l_binary64`
229×	`neg-mul-1_binary64`
214×	`distribute-lft-neg-out_binary64`
200×	`unswap-sqr_binary64`
163×	`unsub-neg_binary64`
146×	`sqr-pow_binary64`
143×	`distribute-lft-neg-in_binary64`
128×	`sub-neg_binary64`
118×	`distribute-rgt-neg-out_binary64`
104×	`*-commutative_binary64`
69×	`exp-prod_binary64`
67×	`pow-sqr_binary64` `distribute-rgt-in_binary64`
57×	`cube-prod_binary64`
56×	`distribute-lft-in_binary64`
55×	`associate-*r/_binary64`
52×	`swap-sqr_binary64`
51×	`associate-*l/_binary64`
47×	`log-div_binary64` `associate-+l+_binary64` `+-commutative_binary64`
36×	`associate--l+_binary64`
35×	`associate-+r+_binary64`
31×	`log-prod_binary64`
27×	`distribute-rgt-out_binary64`
26×	`cube-div_binary64`
24×	`*-lft-identity_binary64`
22×	`distribute-neg-frac_binary64`
18×	`associate-+r-_binary64`
17×	`*-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
15×	`unpow3_binary64` `associate-/l/_binary64`
14×	`distribute-neg-in_binary64` `distribute-lft-out_binary64`
13×	`cube-mult_binary64` `remove-double-neg_binary64`
11×	`+-rgt-identity_binary64` `associate-/r*_binary64`
10×	`pow-plus_binary64` `rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--r+_binary64`
9×	`associate-/l*_binary64`
8×	`cube-unmult_binary64` `sub0-neg_binary64`
7×	`distribute-neg-out_binary64` `distribute-lft-out--_binary64`
6×	`exp-sqrt_binary64` `div-sub_binary64`
4×	`log-pow_binary64` `cancel-sign-sub_binary64`
3×	`log-rec_binary64` `exp-diff_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `*-inverses_binary64` `difference-of-squares_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `--rgt-identity_binary64` `div0_binary64` `rgt-mult-inverse_binary64` `distribute-frac-neg_binary64` `associate-/r/_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` `unpow1/3_binary64` `unpow1/2_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_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` `mul-1-neg_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

99 → 219

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	1950
1	441	1825
2	1416	1787
3	2943	1787

prune583.0ms (3.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	219	6	225

Error

Counts

225 → 6

Compiler

Compiled 8300 to 5364 computations (35.4% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 u2)
0.3b	(.f64 (.f64 2 u2) PI.f64)
0.5b	(/.f64 (-.f64 (.f64 1/2 1/2) (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))) (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))))) (-.f64 1/2 (.f64 (cos.f64 (.f64 (.f64 2 u2) PI.f64)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))))
0.5b	(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))) (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (*.f64 PI.f64 u2)))))

rewrite636.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

50×	`pow1_binary64`
49×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
25×	`prod-exp_binary64` `cbrt-unprod_binary64`
21×	`pow-prod-down_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`times-frac_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-r_binary64`
5×	`associate-l/_binary64` `associate-l*_binary64`
4×	`pow-prod-up_binary64` `add-log-exp_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `associate-/l*_binary64`
3×	`-commutative_binary64` `associate-/r_binary64`
2×	`pow-plus_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`pow2_binary64` `frac-times_binary64` `swap-sqr_binary64` `associate-*r/_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `unswap-sqr_binary64`

Counts

4 → 119

Calls

4 calls:

16.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))) (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (*.f64 PI.f64 u2)))))
9.0ms	(/.f64 (-.f64 (.f64 1/2 1/2) (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))) (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))))) (-.f64 1/2 (.f64 (cos.f64 (.f64 (.f64 2 u2) PI.f64)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))))
5.0ms	(.f64 (.f64 2 u2) PI.f64)
4.0ms	(*.f64 PI.f64 u2)

Compiler

Compiled 8156 to 5899 computations (27.7% saved)

series3.0s (17.5%)

Error

Counts

4 → 24

Calls

4 calls:

2.2s	(/.f64 (-.f64 (.f64 1/2 1/2) (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))) (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))))) (-.f64 1/2 (.f64 (cos.f64 (.f64 (.f64 2 u2) PI.f64)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))))
682.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (.f64 PI.f64 u2)))) (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 2 (*.f64 PI.f64 u2)))))
44.0ms	(.f64 (.f64 2 u2) PI.f64)
38.0ms	(*.f64 PI.f64 u2)

Compiler

Compiled 4314 to 3539 computations (18% saved)

simplify1.5s (8.8%)

Algorithm

1×	egg-herbie

Rules

546×	`associate-r_binary64`
477×	`associate-l_binary64`
251×	`associate-/l*_binary64`
214×	`times-frac_binary64`
179×	`div-sub_binary64`
169×	`*-commutative_binary64`
117×	`associate-/r*_binary64`
105×	`associate-+r+_binary64`
84×	`associate-*l/_binary64` `+-commutative_binary64`
80×	`unswap-sqr_binary64`
76×	`associate-*r/_binary64` `associate-+l+_binary64`
63×	`cancel-sign-sub-inv_binary64`
57×	`log-prod_binary64` `sub-neg_binary64`
56×	`exp-prod_binary64`
44×	`log-div_binary64`
41×	`sqr-pow_binary64` `distribute-rgt-neg-in_binary64`
38×	`associate-/r/_binary64`
35×	`swap-sqr_binary64`
34×	`associate-/l/_binary64`
33×	`distribute-rgt-in_binary64`
32×	`associate--l+_binary64`
29×	`distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
28×	`associate--r+_binary64`
27×	`neg-mul-1_binary64`
26×	`neg-sub0_binary64`
22×	`cube-div_binary64`
21×	`pow-plus_binary64`
19×	`cube-prod_binary64`
15×	`cube-unmult_binary64` `distribute-neg-in_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`pow-sqr_binary64`
7×	`unpow3_binary64` `unpow2_binary64` `unpow1_binary64` `/-rgt-identity_binary64`
5×	`exp-lft-sqr_binary64` `exp-sum_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `*-rgt-identity_binary64`
4×	`associate-+l-_binary64` `associate-+r-_binary64`
3×	`log-rec_binary64` `exp-diff_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64`
2×	`log-pow_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64`
1×	`exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-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-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` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_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` `unsub-neg_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`

Counts

143 → 286

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	380	7568
1	1041	5816
2	4817	5816

prune1.9s (11.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	286	0	286
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	286	6	292

Error

Counts

292 → 6

Compiler

Compiled 19930 to 14775 computations (25.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (/.f64 (cos.f64 (.f64 2 (.f64 PI.f64 u2))) 6)))
0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.3b	(*.f64 PI.f64 u2)
0.4b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (/.f64 (cos.f64 (.f64 2 (.f64 PI.f64 u2))) 6))

rewrite139.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`times-frac_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
2×	`sqrt-prod_binary64` `*-commutative_binary64` `sqrt-pow1_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-inv_binary64` `pow1/2_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

9.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (/.f64 (cos.f64 (.f64 2 (.f64 PI.f64 u2))) 6))
4.0ms	(*.f64 PI.f64 u2)
3.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (/.f64 (cos.f64 (.f64 2 (.f64 PI.f64 u2))) 6)))
3.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

Compiler

Compiled 1878 to 1328 computations (29.3% saved)

series1.1s (6.1%)

Error

Counts

4 → 24

Calls

4 calls:

438.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (/.f64 (cos.f64 (.f64 2 (.f64 PI.f64 u2))) 6))
427.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (/.f64 (cos.f64 (.f64 2 (.f64 PI.f64 u2))) 6)))
124.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
35.0ms	(*.f64 PI.f64 u2)

Compiler

Compiled 1368 to 1202 computations (12.1% saved)

simplify294.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

436×	`associate-*l/_binary64`
424×	`associate-*r/_binary64`
359×	`associate-/l*_binary64`
333×	`*-commutative_binary64`
305×	`cancel-sign-sub-inv_binary64`
285×	`times-frac_binary64`
247×	`unswap-sqr_binary64`
189×	`associate-r_binary64`
186×	`associate-l_binary64`
157×	`sub-neg_binary64`
147×	`associate-/l/_binary64`
115×	`distribute-rgt-neg-in_binary64`
109×	`sqr-pow_binary64`
97×	`distribute-lft-neg-in_binary64`
94×	`associate-/r/_binary64`
89×	`neg-mul-1_binary64` `*-lft-identity_binary64`
85×	`neg-sub0_binary64`
73×	`*-rgt-identity_binary64`
62×	`log-div_binary64`
59×	`pow-sqr_binary64`
58×	`distribute-rgt-in_binary64`
53×	`cube-div_binary64` `associate-/r*_binary64` `+-commutative_binary64`
47×	`distribute-lft-in_binary64`
46×	`associate--l+_binary64`
44×	`div-sub_binary64`
42×	`log-prod_binary64`
41×	`associate-+r+_binary64`
39×	`unsub-neg_binary64`
37×	`associate-+l+_binary64`
35×	`cube-prod_binary64`
34×	`exp-prod_binary64` `distribute-neg-frac_binary64`
31×	`associate-+l-_binary64`
27×	`distribute-rgt-out_binary64`
26×	`sub0-neg_binary64` `remove-double-div_binary64`
25×	`/-rgt-identity_binary64` `associate-+r-_binary64`
21×	`distribute-lft-neg-out_binary64`
17×	`distribute-rgt-out--_binary64`
16×	`associate--r+_binary64`
14×	`+-rgt-identity_binary64`
12×	`exp-sqrt_binary64`
11×	`log-rec_binary64` `pow-plus_binary64` `associate--l-_binary64`
10×	`unpow3_binary64` `+-lft-identity_binary64`
8×	`swap-sqr_binary64`
6×	`cube-unmult_binary64` `cube-mult_binary64` `distribute-lft-out_binary64`
5×	`log-pow_binary64` `exp-lft-sqr_binary64`
4×	`rem-sqrt-square_binary64`
3×	`distribute-neg-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `difference-of-squares_binary64` `distribute-rgt-neg-out_binary64`
1×	`pow-base-1_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `distribute-neg-out_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` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_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` `mul-1-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

97 → 132

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2325
1	472	2245
2	1519	2165
3	4283	2165

prune230.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	132	6	138

Error

Counts

138 → 6

Compiler

Compiled 3848 to 2712 computations (29.5% saved)

regimes1.5s (8.9%)

Accuracy

Total 0.3b remaining (99.4%)

Threshold costs 0.3b (99.4%)

Compiler

Compiled 16727 to 15568 computations (6.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-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-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	30
1	28	30
2	30	30
3	31	30

Proof

(+ f64 1/2 (* f64 (* f64 (sqrt f64 (neg f64 (log f64 h0))) (* f64 (sqrt f64 2) 1/6)) (cos f64 (* f64 2 (* f64 (PI f64) h1)))))

end0.0ms (0%)

sample2.8s (16.1%)

Algorithm

1×

intervals

Results

756.0ms	8000×	body	128	valid
202.0ms	8000×	pre	128	true

Compiler

Compiled 1558 to 1449 computations (7% saved)

Details

analyze262.0ms (1.5%)

sample46.0ms (0.3%)

simplify343.0ms (2%)

prune12.0ms (0.1%)

localize14.0ms (0.1%)

rewrite139.0ms (0.8%)

series794.0ms (4.6%)

simplify213.0ms (1.2%)

prune362.0ms (2.1%)

localize14.0ms (0.1%)

rewrite148.0ms (0.9%)

series871.0ms (5%)

simplify288.0ms (1.7%)

prune583.0ms (3.4%)

localize25.0ms (0.1%)

rewrite636.0ms (3.7%)

series3.0s (17.5%)

simplify1.5s (8.8%)

prune1.9s (11.1%)

localize12.0ms (0.1%)

rewrite139.0ms (0.8%)

series1.1s (6.1%)

simplify294.0ms (1.7%)

prune230.0ms (1.3%)

regimes1.5s (8.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.8s (16.1%)

Profiling