Details

analyze4.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
99.7%	0%	0.3%	1

Compiler

Compiled 28 to 27 computations (3.6% saved)

sample127.0ms (1.1%)

Algorithm

1×

intervals

Results

55.0ms	79×	body	2048	valid
31.0ms	68×	body	1024	valid
12.0ms	38×	body	512	valid
6.0ms	54×	body	128	valid
5.0ms	4×	body	4096	valid
3.0ms	13×	body	256	valid

Compiler

Compiled 55 to 59 computations (-7.3% saved)

simplify125.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	990	35
1	990	35

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

47.9b

Counts

2 → 2

Compiler

Compiled 73 to 70 computations (4.1% saved)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

3.9b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
2.0b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
0.2b	(.f64 (.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8))))) (cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 a 1/8)))))
0.1b	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))
2.0b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
3.9b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
37.2b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
37.3b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64_18869` `pow1_binary64_18894` `add-exp-log_binary64_18871`
6×	`pow-prod-down_binary64_18904` `-un-lft-identity_binary64_18833` `cbrt-unprod_binary64_18866` `associate-r*_binary64_18773` `add-cube-cbrt_binary64_18868` `prod-exp_binary64_18882` `add-sqr-sqrt_binary64_18855`
4×	`distribute-lft-in_binary64_18782` `cos-sum_binary64_18967` `associate-*r/_binary64_18775` `add-log-exp_binary64_18872` `distribute-rgt-in_binary64_18783`
2×	`-commutative_binary64_18764` `flip3-+_binary64_18836` `flip-+_binary64_18807` `associate-l*_binary64_18774`

Counts

4 → 62

Calls

8 calls:

8.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
8.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
4.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
4.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
0.0ms	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))

series576.0ms (4.8%)

Counts

4 → 49

Calls

4 calls:

158.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
158.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
140.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
120.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

Compiler

Compiled 2570 to 2324 computations (9.6% saved)

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5039	1880

prune298.0ms (2.5%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	87	24	111
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	89	24	113

Error

42.9b

Counts

113 → 24

Compiler

Compiled 3763 to 2528 computations (32.8% saved)

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

2.0b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
0.2b	(.f64 (.f64 x (cos.f64 (.f64 1/16 (.f64 t z)))) (cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))))
0.2b	(.f64 1/16 (.f64 t z))
0.1b	(.f64 x (cos.f64 (.f64 1/16 (*.f64 t z))))
0.2b	(.f64 (.f64 x (cos.f64 (.f64 1/16 (.f64 t z)))) (cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))))
2.0b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
31.0b	(cos.f64 (.f64 1/16 (.f64 t z)))
37.3b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64_18869` `pow1_binary64_18894` `add-exp-log_binary64_18871`
6×	`pow-prod-down_binary64_18904` `-un-lft-identity_binary64_18833` `cbrt-unprod_binary64_18866` `associate-r*_binary64_18773` `add-cube-cbrt_binary64_18868` `prod-exp_binary64_18882` `add-sqr-sqrt_binary64_18855`
4×	`add-log-exp_binary64_18872`
2×	`distribute-lft-in_binary64_18782` `-commutative_binary64_18764` `cos-sum_binary64_18967` `associate-r/_binary64_18775` `distribute-rgt-in_binary64_18783` `associate-l_binary64_18774`
1×	`flip3-+_binary64_18836` `flip-+_binary64_18807`

Counts

4 → 56

Calls

8 calls:

9.0ms	(.f64 (.f64 x (cos.f64 (.f64 1/16 (.f64 t z)))) (cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))))
8.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
4.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
3.0ms	(cos.f64 (.f64 1/16 (.f64 t z)))
0.0ms	(.f64 x (cos.f64 (.f64 1/16 (*.f64 t z))))

series981.0ms (8.1%)

Counts

4 → 51

Calls

4 calls:

668.0ms	(.f64 (.f64 x (cos.f64 (.f64 1/16 (.f64 t z)))) (cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))))
158.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
117.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
38.0ms	(cos.f64 (.f64 1/16 (.f64 t z)))

Compiler

Compiled 2531 to 2306 computations (8.9% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4998	2208
1	4998	2208

prune227.0ms (1.9%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	90	17	107
Fresh	7	16	23
Picked	1	0	1
Done	0	0	0
Total	98	33	131

Error

41.6b

Counts

131 → 33

Compiler

Compiled 3408 to 2315 computations (32.1% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune51.0ms (0.4%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	32	32
Picked	1	1
Done	0	0
Total	33	33

Error

41.6b

Counts

33 → 33

Compiler

Compiled 968 to 855 computations (11.7% saved)

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 (.f64 1/16 (.f64 t z)))))) (cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))))
0.2b	(.f64 1/16 (.f64 t z))
0.1b	(.f64 x (log.f64 (exp.f64 (cos.f64 (.f64 1/16 (*.f64 t z))))))
0.1b	(exp.f64 (cos.f64 (.f64 1/16 (.f64 t z))))
0.4b	(log.f64 (exp.f64 (cos.f64 (.f64 1/16 (.f64 t z)))))
2.0b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
31.0b	(cos.f64 (.f64 1/16 (.f64 t z)))
37.3b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64_18894`
9×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
7×	`*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
4×	`log-pow_binary64_18922` `add-log-exp_binary64_18872`
3×	`pow-prod-down_binary64_18904` `exp-prod_binary64_18885` `cbrt-unprod_binary64_18866` `associate-r_binary64_18773` `log-prod_binary64_18919` `prod-exp_binary64_18882`
2×	`distribute-lft-in_binary64_18782` `cos-sum_binary64_18967` `associate-*r/_binary64_18775` `distribute-rgt-in_binary64_18783`
1×	`-commutative_binary64_18764` `rem-log-exp_binary64_18874` `flip3-+_binary64_18836` `flip-+_binary64_18807` `associate-l*_binary64_18774`

Counts

4 → 53

Calls

8 calls:

8.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
4.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
3.0ms	(cos.f64 (.f64 1/16 (.f64 t z)))
3.0ms	(log.f64 (exp.f64 (cos.f64 (.f64 1/16 (.f64 t z)))))
0.0ms	(exp.f64 (cos.f64 (.f64 1/16 (.f64 t z))))

series464.0ms (3.8%)

Counts

4 → 40

Calls

4 calls:

158.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
142.0ms	(log.f64 (exp.f64 (cos.f64 (.f64 1/16 (.f64 t z)))))
121.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
42.0ms	(cos.f64 (.f64 1/16 (.f64 t z)))

Compiler

Compiled 1799 to 1727 computations (4% saved)

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4949	1338
1	4949	1338

prune127.0ms (1.1%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	2	29	31
Picked	1	0	1
Done	0	1	1
Total	90	36	126

Error

41.6b

Counts

126 → 36

Compiler

Compiled 2255 to 1422 computations (36.9% saved)

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	775	3277
1	775	3277

regimes1.4s (11.9%)

Compiler: Compiled 16816 to 15368 computations (8.6% saved)

bsearch162.0ms (1.3%)

Steps

Iters	Range		Point
9	2.8430149939190215e-75	5.3572283232711114e-70	1.8640896652451287e-71
9	-1.265674518729503e+32	-2.793824784354202e+25	-7.405353146839985e+28

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes900.0ms (7.5%)

Compiler: Compiled 9560 to 9344 computations (2.3% saved)

bsearch0.0ms (0%)

regimes58.0ms (0.5%)

Compiler: Compiled 30 to 198 computations (-560% saved)

bsearch0.0ms (0%)

regimes53.0ms (0.4%)

Accuracy

Total 4.6b remaining (10.3%)

Threshold costs 0b (0%)

Compiler

Compiled 24 to 156 computations (-550% saved)

bsearch4.0ms (0%)

Compiler: Compiled 48 to 65 computations (-35.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	71
1	43	71

end0.0ms (0%)

sample6.0s (50%)

Algorithm

1×

intervals

Results

1.6s	2335×	body	2048	valid
1.1s	1980×	body	1024	valid
411.0ms	340×	body	4096	valid
315.0ms	951×	body	512	valid
229.0ms	1981×	body	128	valid
91.0ms	413×	body	256	valid

Compiler

Compiled 2195 to 2027 computations (7.7% saved)

Pareto

0.0

Details

analyze4.0ms (0%)

sample127.0ms (1.1%)

simplify125.0ms (1%)

prune8.0ms (0.1%)

localize19.0ms (0.2%)

rewrite30.0ms (0.2%)

series576.0ms (4.8%)

simplify52.0ms (0.4%)

prune298.0ms (2.5%)

localize20.0ms (0.2%)

rewrite29.0ms (0.2%)

series981.0ms (8.1%)

simplify72.0ms (0.6%)

prune227.0ms (1.9%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune51.0ms (0.4%)

localize22.0ms (0.2%)

rewrite23.0ms (0.2%)

series464.0ms (3.8%)

simplify92.0ms (0.8%)

prune127.0ms (1.1%)

simplify55.0ms (0.5%)

regimes1.4s (11.9%)

bsearch162.0ms (1.3%)

regimes900.0ms (7.5%)

bsearch0.0ms (0%)

regimes58.0ms (0.5%)

bsearch0.0ms (0%)

regimes53.0ms (0.4%)

bsearch4.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.0s (50%)

Profiling