Details

analyze1.5s (9.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	56
1	66	56
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
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
19.5%	80.4%	0.1%	10
20.7%	79.2%	0.1%	11
22%	77.8%	0.1%	12
23.5%	76.4%	0.1%	13
23.8%	76%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample95.0ms (0.7%)

Algorithm

1×

intervals

Results

47.0ms	106×	body	1024	valid
16.0ms	52×	body	512	valid
7.0ms	71×	body	128	valid
5.0ms	23×	body	256	valid
3.0ms	4×	body	2048	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0b	(cos.f64 (+.f64 a b))

rewrite106.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

24×	`add-sqr-sqrt_binary64_441`
19×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419` `times-frac_binary64_425`
13×	`associate-r_binary64_359`
10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`pow1_binary64_480`
3×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-/l_binary64_364` `associate-/r_binary64_363`
2×	`div-exp_binary64_470` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453` `unswap-sqr_binary64_387` `div-inv_binary64_416`
1×	`cos-sum_binary64_553` `pow-prod-down_binary64_490` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418`

Counts

3 → 67

Calls

3 calls:

8.0ms	(cos.f64 (+.f64 a b))
8.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Compiler

Compiled 1186 to 235 computations (80.2% saved)

series554.0ms (3.8%)

Error

13.1b

Counts

3 → 34

Calls

3 calls:

298.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
175.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
44.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1539 to 952 computations (38.1% saved)

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5116	1812

prune147.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	92	9	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	9	102

Error

0.2b

Counts

102 → 9

Compiler

Compiled 1740 to 494 computations (71.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.2b	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))

rewrite182.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

29×	`add-sqr-sqrt_binary64_441`
22×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
20×	`associate-r_binary64_359`
19×	`times-frac_binary64_425`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`pow1_binary64_480` `associate-/r/_binary64_365`
7×	`sin-mult_binary64_574`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360` `cos-mult_binary64_573`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394` `associate-/l_binary64_364` `associate-/r_binary64_363`
2×	`pow-prod-down_binary64_490` `*-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-inv_binary64_416`
1×	`associate-*r/_binary64_361` `frac-2neg_binary64_430` `clear-num_binary64_418` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 100

Calls

4 calls:

16.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
12.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
6.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
5.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2890 to 436 computations (84.9% saved)

series1.4s (9.4%)

Error

0.2b

Counts

4 → 44

Calls

4 calls:

659.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
341.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
175.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
147.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2385 to 1369 computations (42.6% saved)

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4976	3517
1	4976	3517

prune195.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	134	10	144
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	141	12	153

Error

0.1b

Counts

153 → 12

Compiler

Compiled 3596 to 865 computations (75.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.2b	(*.f64 (sin.f64 b) r)
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.2b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

rewrite114.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_441`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
10×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`pow1_binary64_480`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-r_binary64_359`
5×	`sin-mult_binary64_574`
4×	`cos-mult_binary64_573` `associate-/r/_binary64_365`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `times-frac_binary64_425` `associate-/r*_binary64_363`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 76

Calls

4 calls:

9.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
5.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
5.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
4.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 1946 to 307 computations (84.2% saved)

series1.1s (7.3%)

Error

0.1b

Counts

4 → 43

Calls

4 calls:

663.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
184.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
101.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
81.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 2233 to 1237 computations (44.6% saved)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5054	2330

prune119.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	118	13	131

Error

0.1b

Counts

131 → 13

Compiler

Compiled 2818 to 666 computations (76.4% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)))))
0.3b	(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)
26.9b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))

rewrite168.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64_441`
19×	`associate-r_binary64_359`
16×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
14×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
11×	`pow1_binary64_480`
10×	`times-frac_binary64_425`
8×	`cbrt-prod_binary64_450`
6×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `sin-mult_binary64_574` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
3×	`cube-div_binary64_448` `pow-unpow_binary64_496` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `associate-/r/_binary64_365`
2×	`cbrt-div_binary64_451` `unpow-prod-down_binary64_498` `unpow3_binary64_485` `cube-mult_binary64_449` `cube-prod_binary64_447` `sqr-pow_binary64_391` `pow-pow_binary64_491` `pow-exp_binary64_487` `rem-cube-cbrt_binary64_442` `*-commutative_binary64_350`
1×	`pow1/3_binary64_501` `rem-cbrt-cube_binary64_443` `pow-to-exp_binary64_488` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-*r/_binary64_361` `div-inv_binary64_416` `cos-mult_binary64_573` `frac-sub_binary64_428` `flip3--_binary64_423` `flip--_binary64_394`

Counts

4 → 95

Calls

4 calls:

14.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)))))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
5.0ms	(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))

Compiler

Compiled 2834 to 1016 computations (64.1% saved)

series1.3s (8.6%)

Error

0.1b

Counts

4 → 41

Calls

4 calls:

734.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)))))
236.0ms	(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)
127.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
119.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))

Compiler

Compiled 2481 to 1514 computations (39% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4966	2630
1	4966	2630

prune155.0ms (1.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	136	13	149

Error

0.0b

Counts

149 → 13

Compiler

Compiled 3333 to 977 computations (70.7% saved)

regimes1.8s (12.3%)

Accuracy

Total 0.3b remaining (95.2%)

Threshold costs 0.3b (95.2%)

Compiler

Compiled 15045 to 9199 computations (38.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	26
1	42	26

end0.0ms (0%)

sample5.3s (36.6%)

Algorithm

1×

intervals

Results

1.2s	3497×	body	1024	valid
326.0ms	1329×	body	512	valid
189.0ms	2339×	body	128	valid
155.0ms	209×	body	2048	valid
116.0ms	626×	body	256	valid
1.0ms	2×	body	512	invalid
1.0ms	2×	body	1024	invalid

Compiler

Compiled 2954 to 1815 computations (38.6% saved)

Details

analyze1.5s (9.9%)

sample95.0ms (0.7%)

simplify9.0ms (0.1%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite106.0ms (0.7%)

series554.0ms (3.8%)

simplify105.0ms (0.7%)

prune147.0ms (1%)

localize13.0ms (0.1%)

rewrite182.0ms (1.3%)

series1.4s (9.4%)

simplify105.0ms (0.7%)

prune195.0ms (1.3%)

localize16.0ms (0.1%)

rewrite114.0ms (0.8%)

series1.1s (7.3%)

simplify93.0ms (0.6%)

prune119.0ms (0.8%)

localize22.0ms (0.2%)

rewrite168.0ms (1.2%)

series1.3s (8.6%)

simplify88.0ms (0.6%)

prune155.0ms (1.1%)

regimes1.8s (12.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.3s (36.6%)

Profiling