Details

analyze1.6s (21.1%)

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)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	254×	body	128	valid
1.0ms	18×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify303.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	5048	19

prune5.0ms (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

0.6b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.0b	(*.f64 60 (-.f64 x y))
0.8b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_14763`
15×	`*-un-lft-identity_binary64_14741`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
9×	`add-cube-cbrt_binary64_14776`
6×	`cancel-sign-sub-inv_binary64_14707`
5×	`associate-/r_binary64_14685` `times-frac_binary64_14747` `add-log-exp_binary64_14780` `associate-r*_binary64_14681` `pow1_binary64_14802`
4×	`distribute-lft-in_binary64_14690` `associate-*r/_binary64_14683` `distribute-rgt-in_binary64_14691`
3×	`distribute-lft-out--_binary64_14693` `associate-l_binary64_14682` `flip--_binary64_14716` `difference-of-squares_binary64_14710` `flip3--_binary64_14745`
2×	`cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `associate-/l/_binary64_14688` `associate-/r/_binary64_14687` `div-exp_binary64_14792` `sub-neg_binary64_14734` `prod-exp_binary64_14790`
1×	`unswap-sqr_binary64_14709` `frac-2neg_binary64_14752` `div-inv_binary64_14738` `pow-prod-down_binary64_14812` `+-commutative_binary64_14671` `associate-/l_binary64_14686` `-commutative_binary64_14672` `flip-+_binary64_14715` `sum-log_binary64_14832` `clear-num_binary64_14740` `flip3-+_binary64_14744`

Counts

3 → 70

Calls

3 calls:

15.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
10.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
7.0ms	(*.f64 60 (-.f64 x y))

series365.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

235.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
95.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
35.0ms	(*.f64 60 (-.f64 x y))

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4957	1117
1	4957	1117

prune118.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	6	80

Error

0.0b

Counts

80 → 6

Compiler

Compiled 1486 to 788 computations (47% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite377.0ms (5%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_14763`
71×	`*-un-lft-identity_binary64_14741`
51×	`times-frac_binary64_14747`
31×	`associate-r_binary64_14681`
27×	`add-cube-cbrt_binary64_14776`
22×	`distribute-lft-out--_binary64_14693` `difference-of-squares_binary64_14710`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
5×	`associate-/r_binary64_14685` `add-log-exp_binary64_14780` `associate-/l_binary64_14686` `pow1_binary64_14802`
4×	`associate-/r/_binary64_14687`
3×	`associate-l_binary64_14682` `flip--_binary64_14716` `flip3--_binary64_14745`
2×	`unswap-sqr_binary64_14709` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `associate-/l/_binary64_14688` `div-exp_binary64_14792` `prod-exp_binary64_14790`
1×	`div-sub_binary64_14746` `frac-2neg_binary64_14752` `pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `+-commutative_binary64_14671` `-commutative_binary64_14672` `flip-+_binary64_14715` `sum-log_binary64_14832` `clear-num_binary64_14740` `flip3-+_binary64_14744`

Counts

3 → 113

Calls

3 calls:

332.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
15.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

series373.0ms (5%)

Counts

3 → 9

Calls

3 calls:

213.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
101.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
60.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

simplify91.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5083	2119

prune106.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Error

0.0b

Counts

128 → 6

Compiler

Compiled 2555 to 990 computations (61.3% saved)

localize10.0ms (0.1%)

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))
0.5b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite81.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_14747`
195×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
91×	`add-cube-cbrt_binary64_14776`
52×	`distribute-lft-out--_binary64_14693` `difference-of-squares_binary64_14710`
36×	`associate-/r*_binary64_14685`
11×	`associate-/r/_binary64_14687`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
8×	`associate-/l*_binary64_14686`
6×	`div-inv_binary64_14738` `flip--_binary64_14716` `flip3--_binary64_14745`
5×	`add-log-exp_binary64_14780`
4×	`cbrt-undiv_binary64_14775` `div-exp_binary64_14792`
3×	`pow1_binary64_14802`
2×	`frac-2neg_binary64_14752` `associate-/l/_binary64_14688` `clear-num_binary64_14740`
1×	`div-sub_binary64_14746` `+-commutative_binary64_14671` `flip-+_binary64_14715` `sum-log_binary64_14832` `flip3-+_binary64_14744`

Counts

3 → 205

Calls

3 calls:

37.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
13.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

series522.0ms (6.9%)

Counts

3 → 9

Calls

3 calls:

270.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
163.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
89.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

simplify130.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5051	5228

prune297.0ms (4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	214	6	220

Error

0.0b

Counts

220 → 6

Compiler

Compiled 4983 to 1925 computations (61.4% saved)

localize20.0ms (0.3%)

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))

rewrite66.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_14763`
43×	`*-un-lft-identity_binary64_14741`
31×	`times-frac_binary64_14747`
27×	`add-cube-cbrt_binary64_14776`
21×	`associate-l_binary64_14682`
12×	`cancel-sign-sub-inv_binary64_14707`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
8×	`associate-+l+_binary64_14674` `distribute-lft-out--_binary64_14693` `distribute-lft-in_binary64_14690` `difference-of-squares_binary64_14710` `distribute-rgt-in_binary64_14691`
5×	`associate-/r_binary64_14685` `add-log-exp_binary64_14780` `associate-r*_binary64_14681` `pow1_binary64_14802`
4×	`associate-/r/_binary64_14687` `sub-neg_binary64_14734` `flip--_binary64_14716` `flip3--_binary64_14745`
3×	`associate-/l*_binary64_14686`
2×	`unswap-sqr_binary64_14709` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `frac-times_binary64_14751` `cbrt-unprod_binary64_14774` `associate-*r/_binary64_14683` `div-exp_binary64_14792` `prod-exp_binary64_14790`
1×	`frac-2neg_binary64_14752` `pow-prod-down_binary64_14812` `+-commutative_binary64_14671` `associate-l/_binary64_14684` `-commutative_binary64_14672` `flip-+_binary64_14715` `sum-log_binary64_14832` `clear-num_binary64_14740` `flip3-+_binary64_14744`

Counts

3 → 110

Calls

3 calls:

28.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))
19.0ms	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))
5.0ms	(/.f64 60 (-.f64 z t))

series533.0ms (7.1%)

Counts

3 → 9

Calls

3 calls:

339.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))
168.0ms	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))
25.0ms	(/.f64 60 (-.f64 z t))

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4956	1923
1	4956	1923

prune154.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	119	6	125

Error

0.0b

Counts

125 → 6

Compiler

Compiled 2318 to 1180 computations (49.1% saved)

regimes543.0ms (7.2%)

Accuracy

Total 0.1b remaining (85%)

Threshold costs 0.1b (85%)

Compiler

Compiled 4020 to 3620 computations (10% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	19
1	35	19

end0.0ms (0%)

sample1.6s (21.1%)

Algorithm

1×

intervals

Results

541.0ms	7880×	body	128	valid
40.0ms	634×	body	128	invalid
11.0ms	42×	body	1024	valid
11.0ms	37×	body	2048	valid
4.0ms	26×	body	512	valid
2.0ms	13×	body	256	valid
1.0ms	2×	body	4096	valid

Compiler

Compiled 361 to 327 computations (9.4% saved)

Details

analyze1.6s (21.1%)

sample26.0ms (0.3%)

simplify303.0ms (4%)

prune5.0ms (0.1%)

localize18.0ms (0.2%)

rewrite41.0ms (0.5%)

series365.0ms (4.9%)

simplify81.0ms (1.1%)

prune118.0ms (1.6%)

localize9.0ms (0.1%)

rewrite377.0ms (5%)

series373.0ms (5%)

simplify91.0ms (1.2%)

prune106.0ms (1.4%)

localize10.0ms (0.1%)

rewrite81.0ms (1.1%)

series522.0ms (6.9%)

simplify130.0ms (1.7%)

prune297.0ms (4%)

localize20.0ms (0.3%)

rewrite66.0ms (0.9%)

series533.0ms (7.1%)

simplify72.0ms (1%)

prune154.0ms (2%)

regimes543.0ms (7.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (21.1%)

Profiling