Details

analyze3.0s (4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample87.0ms (0.1%)

Algorithm

1×

intervals

Results

35.0ms	250×	body	128	valid
6.0ms	1×	body	1024	valid
3.0ms	3×	body	512	valid
1.0ms	17×	body	128	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify472.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (270.0ms)

Iter	Nodes	Cost
0	5048	19

prune5.0ms (0%)

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

Merged error: 0.4b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize21.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 60 (-.f64 x y))
0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.5b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite73.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_24311`
15×	`*-un-lft-identity_binary64_24289`
10×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
9×	`add-cube-cbrt_binary64_24324`
6×	`cancel-sign-sub-inv_binary64_24255`
5×	`add-log-exp_binary64_24328` `times-frac_binary64_24295` `associate-r_binary64_24229` `pow1_binary64_24350` `associate-/r*_binary64_24233`
4×	`associate-*r/_binary64_24231` `distribute-rgt-in_binary64_24239` `distribute-lft-in_binary64_24238`
3×	`difference-of-squares_binary64_24258` `flip3--_binary64_24293` `associate-l_binary64_24230` `distribute-lft-out--_binary64_24241` `flip--_binary64_24264`
2×	`associate-/r/_binary64_24235` `cbrt-undiv_binary64_24323` `div-exp_binary64_24340` `cbrt-unprod_binary64_24322` `associate-/l/_binary64_24236` `sub-neg_binary64_24282` `prod-exp_binary64_24338`
1×	`flip3-+_binary64_24292` `clear-num_binary64_24288` `sum-log_binary64_24380` `-commutative_binary64_24220` `div-inv_binary64_24286` `unswap-sqr_binary64_24257` `associate-/l_binary64_24234` `flip-+_binary64_24263` `pow-prod-down_binary64_24360` `+-commutative_binary64_24219` `frac-2neg_binary64_24300`

Counts

3 → 70

Calls

3 calls:

26.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
21.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
16.0ms	(*.f64 60 (-.f64 x y))

series1.0s (1.3%)

Counts

3 → 9

Calls

3 calls:

595.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
304.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
103.0ms	(*.f64 60 (-.f64 x y))

simplify207.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	4957	1117
1	4957	1117

prune904.0ms (1.2%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	42	37	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	38	80

Merged error: 0.0b

Counts

80 → 38

Compiler

Compiled 2205 to 1368 computations (38% saved)

localize21.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.0b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
0.3b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite89.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_24311`
71×	`*-un-lft-identity_binary64_24289`
51×	`times-frac_binary64_24295`
31×	`associate-r_binary64_24229`
27×	`add-cube-cbrt_binary64_24324`
22×	`difference-of-squares_binary64_24258` `distribute-lft-out--_binary64_24241`
10×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
5×	`add-log-exp_binary64_24328` `associate-/l_binary64_24234` `pow1_binary64_24350` `associate-/r_binary64_24233`
4×	`associate-/r/_binary64_24235`
3×	`flip3--_binary64_24293` `associate-l_binary64_24230` `flip--_binary64_24264`
2×	`cbrt-undiv_binary64_24323` `div-exp_binary64_24340` `cbrt-unprod_binary64_24322` `associate-/l/_binary64_24236` `prod-exp_binary64_24338` `div-inv_binary64_24286` `unswap-sqr_binary64_24257`
1×	`flip3-+_binary64_24292` `clear-num_binary64_24288` `div-sub_binary64_24294` `sum-log_binary64_24380` `-commutative_binary64_24220` `associate-r/_binary64_24231` `flip-+_binary64_24263` `pow-prod-down_binary64_24360` `+-commutative_binary64_24219` `frac-2neg_binary64_24300`

Counts

3 → 113

Calls

3 calls:

29.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
23.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
16.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

series704.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

333.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
265.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
106.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

simplify140.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5083	2119

prune1.3s (1.7%)

Pruning

91 alts after pruning (89 fresh and 2 done)

	Pruned	Kept	Total
New	67	55	122
Fresh	2	34	36
Picked	0	1	1
Done	0	1	1
Total	69	91	160

Merged error: 0.0b

Counts

160 → 91

Compiler

Compiled 4669 to 2542 computations (45.6% saved)

localize26.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.0b	(+.f64 (.f64 60 (.f64 1 (/.f64 (-.f64 x y) (-.f64 z t)))) (*.f64 a 120))
0.3b	(.f64 60 (.f64 1 (/.f64 (-.f64 x y) (-.f64 z t))))

rewrite96.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64_24289` `add-sqr-sqrt_binary64_24311`
25×	`times-frac_binary64_24295`
19×	`add-exp-log_binary64_24327`
16×	`add-cube-cbrt_binary64_24324`
14×	`add-cbrt-cube_binary64_24325`
12×	`difference-of-squares_binary64_24258` `distribute-lft-out--_binary64_24241`
9×	`prod-exp_binary64_24338`
8×	`pow1_binary64_24350`
5×	`add-log-exp_binary64_24328` `cbrt-unprod_binary64_24322` `associate-/l_binary64_24234` `associate-/r_binary64_24233`
3×	`div-exp_binary64_24340` `associate-l_binary64_24230` `pow-prod-down_binary64_24360`
2×	`associate-/r/_binary64_24235` `cbrt-undiv_binary64_24323` `associate-/l/_binary64_24236` `1-exp_binary64_24333` `flip3--_binary64_24293` `associate-*r/_binary64_24231` `flip--_binary64_24264`
1×	`flip3-+_binary64_24292` `clear-num_binary64_24288` `div-sub_binary64_24294` `associate-r_binary64_24229` `sum-log_binary64_24380` `*-commutative_binary64_24220` `div-inv_binary64_24286` `flip-+_binary64_24263` `+-commutative_binary64_24219` `frac-2neg_binary64_24300`

Counts

3 → 86

Calls

3 calls:

32.0ms	(.f64 60 (.f64 1 (/.f64 (-.f64 x y) (-.f64 z t))))
24.0ms	(+.f64 (.f64 60 (.f64 1 (/.f64 (-.f64 x y) (-.f64 z t)))) (*.f64 a 120))
16.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

series762.0ms (1%)

Counts

3 → 9

Calls

3 calls:

447.0ms	(+.f64 (.f64 60 (.f64 1 (/.f64 (-.f64 x y) (-.f64 z t)))) (*.f64 a 120))
176.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
139.0ms	(.f64 60 (.f64 1 (/.f64 (-.f64 x y) (-.f64 z t))))

simplify163.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	6114	1667

prune2.4s (3.2%)

Pruning

113 alts after pruning (110 fresh and 3 done)

	Pruned	Kept	Total
New	64	31	95
Fresh	9	79	88
Picked	0	1	1
Done	0	2	2
Total	73	113	186

Merged error: 0.0b

Counts

186 → 113

Compiler

Compiled 4672 to 2916 computations (37.6% saved)

localize28.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.0b	(+.f64 (.f64 60 (.f64 1 (.f64 1 (/.f64 (-.f64 x y) (-.f64 z t))))) (.f64 a 120))
0.3b	(.f64 60 (.f64 1 (*.f64 1 (/.f64 (-.f64 x y) (-.f64 z t)))))

rewrite85.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64_24289` `add-sqr-sqrt_binary64_24311` `add-exp-log_binary64_24327`
29×	`prod-exp_binary64_24338`
25×	`times-frac_binary64_24295`
19×	`add-cbrt-cube_binary64_24325`
16×	`add-cube-cbrt_binary64_24324`
12×	`difference-of-squares_binary64_24258` `pow1_binary64_24350` `distribute-lft-out--_binary64_24241`
9×	`cbrt-unprod_binary64_24322` `1-exp_binary64_24333`
6×	`pow-prod-down_binary64_24360`
5×	`add-log-exp_binary64_24328` `div-exp_binary64_24340` `associate-/l_binary64_24234` `associate-/r_binary64_24233`
3×	`associate-r/_binary64_24231` `associate-l*_binary64_24230`
2×	`associate-/r/_binary64_24235` `cbrt-undiv_binary64_24323` `associate-/l/_binary64_24236` `flip3--_binary64_24293` `flip--_binary64_24264`
1×	`flip3-+_binary64_24292` `clear-num_binary64_24288` `div-sub_binary64_24294` `associate-r_binary64_24229` `sum-log_binary64_24380` `*-commutative_binary64_24220` `div-inv_binary64_24286` `flip-+_binary64_24263` `+-commutative_binary64_24219` `frac-2neg_binary64_24300`

Counts

3 → 94

Calls

3 calls:

28.0ms	(+.f64 (.f64 60 (.f64 1 (.f64 1 (/.f64 (-.f64 x y) (-.f64 z t))))) (.f64 a 120))
26.0ms	(.f64 60 (.f64 1 (*.f64 1 (/.f64 (-.f64 x y) (-.f64 z t)))))
15.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

series732.0ms (1%)

Counts

3 → 9

Calls

3 calls:

394.0ms	(+.f64 (.f64 60 (.f64 1 (.f64 1 (/.f64 (-.f64 x y) (-.f64 z t))))) (.f64 a 120))
184.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
153.0ms	(.f64 60 (.f64 1 (*.f64 1 (/.f64 (-.f64 x y) (-.f64 z t)))))

simplify171.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	5961	1786

prune2.0s (2.7%)

Pruning

135 alts after pruning (131 fresh and 4 done)

	Pruned	Kept	Total
New	71	32	103
Fresh	10	99	109
Picked	0	1	1
Done	0	3	3
Total	81	135	216

Merged error: 0.0b

Counts

216 → 135

Compiler

Compiled 2171 to 1060 computations (51.2% saved)

regimes16.6s (22.1%)

Compiler: Compiled 54323 to 43332 computations (20.2% saved)

bsearch26.7s (35.5%)

simplify62.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	39	19
1	39	19

end0.0ms (0%)

sample17.2s (23%)

Algorithm

1×

intervals

Results

819.0ms	7848×	body	128	valid
60.0ms	652×	body	128	invalid
22.0ms	38×	body	2048	valid
13.0ms	47×	body	1024	valid
10.0ms	39×	body	512	valid
5.0ms	24×	body	256	valid
4.0ms	4×	body	4096	valid

Compiler

Compiled 5637 to 4389 computations (22.1% saved)

Pareto

0.5138107603359969

Details

analyze3.0s (4%)

sample87.0ms (0.1%)

simplify472.0ms (0.6%)

prune5.0ms (0%)

localize21.0ms (0%)

rewrite73.0ms (0.1%)

series1.0s (1.3%)

simplify207.0ms (0.3%)

prune904.0ms (1.2%)

localize21.0ms (0%)

rewrite89.0ms (0.1%)

series704.0ms (0.9%)

simplify140.0ms (0.2%)

prune1.3s (1.7%)

localize26.0ms (0%)

rewrite96.0ms (0.1%)

series762.0ms (1%)

simplify163.0ms (0.2%)

prune2.4s (3.2%)

localize28.0ms (0%)

rewrite85.0ms (0.1%)

series732.0ms (1%)

simplify171.0ms (0.2%)

prune2.0s (2.7%)

regimes16.6s (22.1%)

bsearch26.7s (35.5%)

simplify62.0ms (0.1%)

end0.0ms (0%)

sample17.2s (23%)

Profiling