Details

analyze1.0s (18.5%)

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)

sample28.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	252×	body	128	valid
1.0ms	20×	body	128	invalid
0.0ms	2×	body	2048	valid
0.0ms	2×	body	1024	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify226.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	5048	19

prune3.0ms (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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize9.0ms (0.2%)

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))
0.3b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite44.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_23970`
15×	`*-un-lft-identity_binary64_23948`
10×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984`
9×	`add-cube-cbrt_binary64_23983`
6×	`cancel-sign-sub-inv_binary64_23914`
5×	`associate-/r_binary64_23892` `add-log-exp_binary64_23987` `associate-r*_binary64_23888` `times-frac_binary64_23954` `pow1_binary64_24009`
4×	`associate-*r/_binary64_23890` `distribute-rgt-in_binary64_23898` `distribute-lft-in_binary64_23897`
3×	`flip3--_binary64_23952` `difference-of-squares_binary64_23917` `associate-l_binary64_23889` `flip--_binary64_23923` `distribute-lft-out--_binary64_23900`
2×	`associate-/l/_binary64_23895` `div-exp_binary64_23999` `prod-exp_binary64_23997` `associate-/r/_binary64_23894` `cbrt-undiv_binary64_23982` `sub-neg_binary64_23941` `cbrt-unprod_binary64_23981`
1×	`div-inv_binary64_23945` `flip-+_binary64_23922` `associate-/l_binary64_23893` `clear-num_binary64_23947` `-commutative_binary64_23879` `flip3-+_binary64_23951` `frac-2neg_binary64_23959` `+-commutative_binary64_23878` `unswap-sqr_binary64_23916` `sum-log_binary64_24039` `pow-prod-down_binary64_24019`

Counts

3 → 70

Calls

3 calls:

13.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
13.0ms	(*.f64 60 (-.f64 x y))
12.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series249.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

157.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
73.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
20.0ms	(*.f64 60 (-.f64 x y))

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4957	1117
1	4957	1117

prune89.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	7	80

Error

0.0b

Counts

80 → 7

Compiler

Compiled 1502 to 806 computations (46.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.6b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite87.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_23954`
195×	`*-un-lft-identity_binary64_23948` `add-sqr-sqrt_binary64_23970`
91×	`add-cube-cbrt_binary64_23983`
52×	`difference-of-squares_binary64_23917` `distribute-lft-out--_binary64_23900`
36×	`associate-/r*_binary64_23892`
11×	`associate-/r/_binary64_23894`
10×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984`
8×	`associate-/l*_binary64_23893`
6×	`flip3--_binary64_23952` `div-inv_binary64_23945` `flip--_binary64_23923`
5×	`add-log-exp_binary64_23987`
4×	`div-exp_binary64_23999` `cbrt-undiv_binary64_23982`
3×	`pow1_binary64_24009`
2×	`associate-/l/_binary64_23895` `clear-num_binary64_23947` `frac-2neg_binary64_23959`
1×	`div-sub_binary64_23953` `flip-+_binary64_23922` `flip3-+_binary64_23951` `+-commutative_binary64_23878` `sum-log_binary64_24039`

Counts

3 → 205

Calls

3 calls:

38.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
14.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

series443.0ms (7.9%)

Counts

3 → 9

Calls

3 calls:

244.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
139.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
60.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

simplify103.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5051	5228

prune210.0ms (3.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	216	5	221

Error

0.0b

Counts

221 → 5

Compiler

Compiled 4968 to 1921 computations (61.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_23970`
43×	`*-un-lft-identity_binary64_23948`
31×	`times-frac_binary64_23954`
27×	`add-cube-cbrt_binary64_23983`
21×	`associate-l_binary64_23889`
12×	`cancel-sign-sub-inv_binary64_23914`
10×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984`
8×	`difference-of-squares_binary64_23917` `associate-+l+_binary64_23881` `distribute-rgt-in_binary64_23898` `distribute-lft-out--_binary64_23900` `distribute-lft-in_binary64_23897`
5×	`associate-/r_binary64_23892` `add-log-exp_binary64_23987` `associate-r*_binary64_23888` `pow1_binary64_24009`
4×	`associate-/r/_binary64_23894` `flip3--_binary64_23952` `sub-neg_binary64_23941` `flip--_binary64_23923`
3×	`associate-/l*_binary64_23893`
2×	`div-exp_binary64_23999` `prod-exp_binary64_23997` `associate-*r/_binary64_23890` `cbrt-undiv_binary64_23982` `div-inv_binary64_23945` `cbrt-unprod_binary64_23981` `frac-times_binary64_23958` `unswap-sqr_binary64_23916`
1×	`flip-+_binary64_23922` `clear-num_binary64_23947` `-commutative_binary64_23879` `flip3-+_binary64_23951` `associate-l/_binary64_23891` `frac-2neg_binary64_23959` `+-commutative_binary64_23878` `sum-log_binary64_24039` `pow-prod-down_binary64_24019`

Counts

3 → 110

Calls

3 calls:

15.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))
14.0ms	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))
6.0ms	(/.f64 60 (-.f64 z t))

series421.0ms (7.5%)

Counts

3 → 9

Calls

3 calls:

254.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))
141.0ms	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))
25.0ms	(/.f64 60 (-.f64 z t))

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4956	1923
1	4956	1923

prune114.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	119	5	124

Error

0.0b

Counts

124 → 5

Compiler

Compiled 2351 to 1213 computations (48.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
0.2b	(*.f64 (-.f64 x y) (sqrt.f64 60))
0.3b	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
0.3b	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))

rewrite61.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_23970`
20×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984`
17×	`*-un-lft-identity_binary64_23948`
11×	`associate-l_binary64_23889` `add-cube-cbrt_binary64_23983` `pow1_binary64_24009`
7×	`prod-exp_binary64_23997` `sqrt-prod_binary64_23964` `cbrt-unprod_binary64_23981` `associate-r_binary64_23888`
6×	`associate-*l/_binary64_23891` `add-log-exp_binary64_23987`
5×	`associate-/r*_binary64_23892` `times-frac_binary64_23954`
4×	`associate-*r/_binary64_23890` `flip3--_binary64_23952` `flip--_binary64_23923` `pow-prod-down_binary64_24019`
3×	`div-exp_binary64_23999` `difference-of-squares_binary64_23917` `cbrt-undiv_binary64_23982` `distribute-lft-out--_binary64_23900`
2×	`associate-/l/_binary64_23895` `associate-/r/_binary64_23894` `*-commutative_binary64_23879` `unswap-sqr_binary64_23916`
1×	`div-inv_binary64_23945` `flip-+_binary64_23922` `associate-/l*_binary64_23893` `clear-num_binary64_23947` `flip3-+_binary64_23951` `frac-2neg_binary64_23959` `+-commutative_binary64_23878` `sum-log_binary64_24039`

Counts

4 → 91

Calls

4 calls:

16.0ms	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
16.0ms	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
11.0ms	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))
9.0ms	(*.f64 (-.f64 x y) (sqrt.f64 60))

series446.0ms (8%)

Counts

4 → 12

Calls

4 calls:

241.0ms	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
125.0ms	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
50.0ms	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))
30.0ms	(*.f64 (-.f64 x y) (sqrt.f64 60))

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4975	1493
1	4975	1493

prune98.0ms (1.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	103	5	108

Error

0.0b

Counts

108 → 5

Compiler

Compiled 2036 to 1152 computations (43.4% saved)

regimes520.0ms (9.3%)

Accuracy

Total 0.1b remaining (84.9%)

Threshold costs 0.1b (84.9%)

Compiler

Compiled 5114 to 4673 computations (8.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	19
1	34	19

end0.0ms (0%)

sample1.1s (20.2%)

Algorithm

1×

intervals

Results

352.0ms	7858×	body	128	valid
26.0ms	641×	body	128	invalid
8.0ms	42×	body	2048	valid
7.0ms	48×	body	1024	valid
4.0ms	34×	body	512	valid
1.0ms	17×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 463 to 424 computations (8.4% saved)

Details

analyze1.0s (18.5%)

sample28.0ms (0.5%)

simplify226.0ms (4%)

prune3.0ms (0%)

localize9.0ms (0.2%)

rewrite44.0ms (0.8%)

series249.0ms (4.5%)

simplify62.0ms (1.1%)

prune89.0ms (1.6%)

localize9.0ms (0.2%)

rewrite87.0ms (1.6%)

series443.0ms (7.9%)

simplify103.0ms (1.8%)

prune210.0ms (3.8%)

localize10.0ms (0.2%)

rewrite45.0ms (0.8%)

series421.0ms (7.5%)

simplify70.0ms (1.3%)

prune114.0ms (2%)

localize12.0ms (0.2%)

rewrite61.0ms (1.1%)

series446.0ms (8%)

simplify70.0ms (1.3%)

prune98.0ms (1.8%)

regimes520.0ms (9.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (20.2%)

Profiling