Details

analyze1.5s (18.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample44.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	147×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify160.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

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

6.7b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
3.2b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.5b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
18×	`times-frac_binary64_18839`
13×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
9×	`pow1_binary64_18894`
6×	`associate-/r_binary64_18777` `associate-/l_binary64_18778` `add-log-exp_binary64_18872`
4×	`associate-/l/_binary64_18780`
3×	`pow-prod-down_binary64_18904` `cbrt-unprod_binary64_18866` `associate-r_binary64_18773` `flip3-+_binary64_18836` `prod-exp_binary64_18882` `flip-+_binary64_18807`
2×	`div-inv_binary64_18830` `clear-num_binary64_18832` `frac-2neg_binary64_18844` `cbrt-undiv_binary64_18867` `div-exp_binary64_18884`
1×	`+-commutative_binary64_18763` `-commutative_binary64_18764` `sum-log_binary64_18924` `associate-l*_binary64_18774`

Counts

4 → 87

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)

series378.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

181.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
130.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
52.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
15.0ms	(.f64 (.f64 x 9) y)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5785	2384

prune154.0ms (1.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	87	12	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	88	13	101

Error

6.4b

Counts

101 → 13

Compiler

Compiled 2902 to 1724 computations (40.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
6.5b	(/.f64 b (*.f64 z c))
7.3b	(/.f64 (*.f64 t a) c)
9.6b	(/.f64 (.f64 x y) (.f64 z c))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
15×	`cbrt-unprod_binary64_18866` `prod-exp_binary64_18882`
12×	`cbrt-undiv_binary64_18867` `div-exp_binary64_18884` `add-sqr-sqrt_binary64_18855`
10×	`*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868`
8×	`times-frac_binary64_18839`
6×	`pow1_binary64_18894`
5×	`associate-/r_binary64_18777` `associate-/l_binary64_18778` `associate-r_binary64_18773`
4×	`div-inv_binary64_18830` `add-log-exp_binary64_18872`
3×	`clear-num_binary64_18832` `frac-2neg_binary64_18844` `associate-l_binary64_18774`
1×	`pow-prod-down_binary64_18904` `-commutative_binary64_18764` `associate-r/_binary64_18775` `unswap-sqr_binary64_18801`

Counts

4 → 92

Calls

4 calls:

8.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
6.0ms	(/.f64 (.f64 x y) (.f64 z c))
4.0ms	(/.f64 (*.f64 t a) c)
4.0ms	(/.f64 b (*.f64 z c))

series110.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
31.0ms	(/.f64 (.f64 x y) (.f64 z c))
20.0ms	(/.f64 (*.f64 t a) c)
18.0ms	(/.f64 b (*.f64 z c))

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4965	1189
1	4965	1189

prune123.0ms (1.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	100	17	117

Error

1.0b

Counts

117 → 17

Compiler

Compiled 3176 to 1219 computations (61.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
4.7b	(*.f64 t (/.f64 a c))
6.5b	(/.f64 b (*.f64 z c))
9.6b	(/.f64 (.f64 x y) (.f64 z c))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
23×	`add-sqr-sqrt_binary64_18855`
18×	`associate-r_binary64_18773`
16×	`*-un-lft-identity_binary64_18833` `cbrt-unprod_binary64_18866` `add-cube-cbrt_binary64_18868` `prod-exp_binary64_18882`
15×	`times-frac_binary64_18839`
11×	`cbrt-undiv_binary64_18867` `div-exp_binary64_18884`
8×	`pow1_binary64_18894`
6×	`associate-l_binary64_18774`
4×	`associate-/l*_binary64_18778` `div-inv_binary64_18830` `add-log-exp_binary64_18872`
3×	`unswap-sqr_binary64_18801`
2×	`pow-prod-down_binary64_18904` `associate-/r_binary64_18777` `-commutative_binary64_18764` `associate-*r/_binary64_18775` `clear-num_binary64_18832` `frac-2neg_binary64_18844`

Counts

4 → 103

Calls

4 calls:

8.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
7.0ms	(*.f64 t (/.f64 a c))
6.0ms	(/.f64 (.f64 x y) (.f64 z c))
4.0ms	(/.f64 b (*.f64 z c))

series110.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
31.0ms	(/.f64 (.f64 x y) (.f64 z c))
18.0ms	(/.f64 b (*.f64 z c))
18.0ms	(*.f64 t (/.f64 a c))

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4985	1318
1	4985	1318

prune127.0ms (1.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	117	15	132

Error

0.0b

Counts

132 → 15

Compiler

Compiled 3495 to 1293 computations (63% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
5.1b	(/.f64 t (/.f64 c a))
6.5b	(/.f64 b (*.f64 z c))
9.6b	(/.f64 (.f64 x y) (.f64 z c))

rewrite39.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`times-frac_binary64_18839`
52×	`add-sqr-sqrt_binary64_18855`
50×	`*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868`
44×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
15×	`associate-/r*_binary64_18777`
14×	`cbrt-unprod_binary64_18866` `prod-exp_binary64_18882`
13×	`cbrt-undiv_binary64_18867` `div-exp_binary64_18884`
8×	`div-inv_binary64_18830`
7×	`associate-/l*_binary64_18778`
6×	`pow1_binary64_18894`
5×	`associate-r_binary64_18773`
4×	`add-log-exp_binary64_18872`
3×	`clear-num_binary64_18832` `frac-2neg_binary64_18844` `associate-l_binary64_18774`
1×	`pow-prod-down_binary64_18904` `-commutative_binary64_18764` `associate-r/_binary64_18775` `unswap-sqr_binary64_18801` `associate-/r/_binary64_18779`

Counts

4 → 141

Calls

4 calls:

8.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
6.0ms	(/.f64 t (/.f64 c a))
6.0ms	(/.f64 (.f64 x y) (.f64 z c))
4.0ms	(/.f64 b (*.f64 z c))

series112.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
31.0ms	(/.f64 (.f64 x y) (.f64 z c))
21.0ms	(/.f64 t (/.f64 c a))
18.0ms	(/.f64 b (*.f64 z c))

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5004	2172

prune147.0ms (1.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	153	15	168

Error

0.0b

Counts

168 → 15

Compiler

Compiled 4341 to 1289 computations (70.3% saved)

regimes2.1s (25.3%)

Accuracy

Total 4.5b remaining (98.3%)

Threshold costs 0b (0%)

Compiler

Compiled 17399 to 14523 computations (16.5% saved)

bsearch4.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	172	277
1	172	277

end0.0ms (0%)

sample2.6s (31.4%)

Algorithm

1×

intervals

Results

494.0ms	8000×	body	128	valid
260.0ms	4660×	body	128	invalid

Compiler

Compiled 1971 to 1538 computations (22% saved)

Details

analyze1.5s (18.8%)

sample44.0ms (0.5%)

simplify160.0ms (1.9%)

prune5.0ms (0.1%)

localize13.0ms (0.2%)

rewrite44.0ms (0.5%)

series378.0ms (4.6%)

simplify86.0ms (1%)

prune154.0ms (1.9%)

localize15.0ms (0.2%)

rewrite30.0ms (0.4%)

series110.0ms (1.3%)

simplify77.0ms (0.9%)

prune123.0ms (1.5%)

localize15.0ms (0.2%)

rewrite36.0ms (0.4%)

series110.0ms (1.3%)

simplify81.0ms (1%)

prune127.0ms (1.5%)

localize18.0ms (0.2%)

rewrite39.0ms (0.5%)

series112.0ms (1.4%)

simplify88.0ms (1.1%)

prune147.0ms (1.8%)

regimes2.1s (25.3%)

bsearch4.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.6s (31.4%)

Profiling