Details

analyze1.1s (10%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	112
1	4937	112
0	4	4
1	4	4

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample35.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
6.0ms	129×	body	128	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify358.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (349.0ms)

Iter	Nodes	Cost
0	4800	16
1	4800	16

prune4.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
0.2b	(/.f64 y (*.f64 z 3))
0.5b	(.f64 (.f64 z 3) y)
5.9b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite195.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800`
16×	`*-un-lft-identity_binary64_15764`
11×	`add-cube-cbrt_binary64_15799` `add-sqr-sqrt_binary64_15786`
9×	`pow1_binary64_15825` `add-log-exp_binary64_15803` `times-frac_binary64_15770`
8×	`associate-+l+_binary64_15697`
7×	`prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `cancel-sign-sub-inv_binary64_15730`
6×	`associate-/l*_binary64_15709`
5×	`div-exp_binary64_15815` `cbrt-undiv_binary64_15798`
3×	`div-inv_binary64_15761` `pow-prod-down_binary64_15835` `associate-r_binary64_15704`
2×	`frac-2neg_binary64_15775` `clear-num_binary64_15763` `associate-/r*_binary64_15708` `sum-log_binary64_15855` `frac-add_binary64_15772` `distribute-lft-out_binary64_15715`
1×	`associate-l_binary64_15705` `*-commutative_binary64_15695` `diff-log_binary64_15856` `flip3--_binary64_15768` `flip--_binary64_15739` `flip3-+_binary64_15767` `flip-+_binary64_15738` `distribute-lft-out--_binary64_15716` `associate-+l-_binary64_15699` `sub-neg_binary64_15757` `+-commutative_binary64_15694`

Counts

4 → 87

Calls

4 calls:

12.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
6.0ms	(/.f64 t (.f64 (.f64 z 3) y))
5.0ms	(.f64 (.f64 z 3) y)
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1880 to 1152 computations (38.7% saved)

series1.0s (9.6%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

629.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
209.0ms	(/.f64 t (.f64 (.f64 z 3) y))
89.0ms	(/.f64 y (*.f64 z 3))
84.0ms	(.f64 (.f64 z 3) y)

Compiler

Compiled 1192 to 1026 computations (13.9% saved)

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4969	1888
1	4969	1888

prune149.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	130	5	135
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	131	6	137

Error

Counts

137 → 6

Compiler

Compiled 1500 to 848 computations (43.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
0.2b	(/.f64 t (*.f64 z 3))
0.2b	(/.f64 y (*.f64 z 3))
4.2b	(/.f64 (/.f64 t (*.f64 z 3)) y)

rewrite276.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64_15770`
31×	`*-un-lft-identity_binary64_15764`
26×	`add-cube-cbrt_binary64_15799` `add-sqr-sqrt_binary64_15786`
23×	`add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800`
13×	`associate-/l*_binary64_15709`
9×	`div-exp_binary64_15815` `add-log-exp_binary64_15803` `cbrt-undiv_binary64_15798`
8×	`div-inv_binary64_15761` `associate-+l+_binary64_15697`
7×	`cancel-sign-sub-inv_binary64_15730`
5×	`associate-/r*_binary64_15708`
4×	`pow1_binary64_15825`
3×	`prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `frac-2neg_binary64_15775` `clear-num_binary64_15763`
2×	`sum-log_binary64_15855` `frac-add_binary64_15772` `distribute-lft-out_binary64_15715`
1×	`associate-/l/_binary64_15711` `diff-log_binary64_15856` `flip3--_binary64_15768` `flip--_binary64_15739` `flip3-+_binary64_15767` `flip-+_binary64_15738` `distribute-lft-out--_binary64_15716` `associate-+l-_binary64_15699` `sub-neg_binary64_15757` `+-commutative_binary64_15694`

Counts

4 → 115

Calls

4 calls:

18.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
7.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
4.0ms	(/.f64 t (*.f64 z 3))
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 2562 to 1530 computations (40.3% saved)

series1.0s (9.5%)

Error

Counts

4 → 48

Calls

4 calls:

606.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
208.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
96.0ms	(/.f64 t (*.f64 z 3))
92.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1192 to 1027 computations (13.8% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4973	2312
1	4973	2312

prune206.0ms (1.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	164	5	169

Error

Counts

169 → 5

Compiler

Compiled 2045 to 1100 computations (46.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t (*.f64 z 3)) y))
0.2b	(/.f64 t (*.f64 z 3))
0.2b	(/.f64 (/.f64 y z) 3)
4.2b	(/.f64 (/.f64 t (*.f64 z 3)) y)

rewrite508.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

177×	`times-frac_binary64_15770`
104×	`*-un-lft-identity_binary64_15764`
99×	`add-cube-cbrt_binary64_15799` `add-sqr-sqrt_binary64_15786`
44×	`associate-+l+_binary64_15697`
43×	`cancel-sign-sub-inv_binary64_15730`
23×	`add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800` `associate-/l*_binary64_15709`
15×	`div-inv_binary64_15761`
10×	`div-exp_binary64_15815` `cbrt-undiv_binary64_15798`
9×	`add-log-exp_binary64_15803`
7×	`associate-/r*_binary64_15708`
4×	`pow1_binary64_15825`
3×	`frac-2neg_binary64_15775` `clear-num_binary64_15763`
2×	`prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `associate-/l/_binary64_15711` `sum-log_binary64_15855` `frac-add_binary64_15772` `distribute-lft-out_binary64_15715`
1×	`diff-log_binary64_15856` `flip3--_binary64_15768` `flip--_binary64_15739` `flip3-+_binary64_15767` `flip-+_binary64_15738` `distribute-lft-out--_binary64_15716` `associate-+l-_binary64_15699` `sub-neg_binary64_15757` `+-commutative_binary64_15694`

Counts

4 → 200

Calls

4 calls:

39.0ms	(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t (*.f64 z 3)) y))
7.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
6.0ms	(/.f64 (/.f64 y z) 3)
5.0ms	(/.f64 t (*.f64 z 3))

Compiler

Compiled 4878 to 2662 computations (45.4% saved)

series1.0s (9.6%)

Error

Counts

4 → 48

Calls

4 calls:

629.0ms	(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t (*.f64 z 3)) y))
205.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
95.0ms	(/.f64 t (*.f64 z 3))
85.0ms	(/.f64 (/.f64 y z) 3)

Compiler

Compiled 1192 to 1025 computations (14% saved)

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5002	4609

prune332.0ms (3.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	248	5	253

Error

Counts

253 → 5

Compiler

Compiled 3854 to 1953 computations (49.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z y) 3)))
0.2b	(.f64 (.f64 z y) 3)
0.2b	(/.f64 y (*.f64 z 3))
5.9b	(/.f64 t (.f64 (.f64 z y) 3))

rewrite192.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800`
16×	`*-un-lft-identity_binary64_15764`
11×	`add-cube-cbrt_binary64_15799` `add-sqr-sqrt_binary64_15786`
9×	`pow1_binary64_15825` `add-log-exp_binary64_15803` `times-frac_binary64_15770`
8×	`associate-+l+_binary64_15697`
7×	`prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `cancel-sign-sub-inv_binary64_15730`
6×	`associate-/l*_binary64_15709`
5×	`div-exp_binary64_15815` `cbrt-undiv_binary64_15798`
3×	`div-inv_binary64_15761` `pow-prod-down_binary64_15835` `associate-r_binary64_15704`
2×	`frac-2neg_binary64_15775` `clear-num_binary64_15763` `associate-/r*_binary64_15708` `sum-log_binary64_15855` `frac-add_binary64_15772` `distribute-lft-out_binary64_15715`
1×	`associate-l_binary64_15705` `*-commutative_binary64_15695` `diff-log_binary64_15856` `flip3--_binary64_15768` `flip--_binary64_15739` `flip3-+_binary64_15767` `flip-+_binary64_15738` `distribute-lft-out--_binary64_15716` `associate-+l-_binary64_15699` `sub-neg_binary64_15757` `+-commutative_binary64_15694`

Counts

4 → 87

Calls

4 calls:

12.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z y) 3)))
6.0ms	(/.f64 t (.f64 (.f64 z y) 3))
5.0ms	(.f64 (.f64 z y) 3)
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1880 to 1059 computations (43.7% saved)

series1.0s (9.5%)

Error

Counts

4 → 48

Calls

4 calls:

610.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z y) 3)))
206.0ms	(/.f64 t (.f64 (.f64 z y) 3))
94.0ms	(/.f64 y (*.f64 z 3))
87.0ms	(.f64 (.f64 z y) 3)

Compiler

Compiled 1192 to 1025 computations (14% saved)

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4989	1780
1	4989	1780

prune134.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	135	5	140

Error

Counts

140 → 5

Compiler

Compiled 1329 to 686 computations (48.4% saved)

regimes1.7s (15.5%)

Accuracy

Total 1.5b remaining (98.5%)

Threshold costs 0b (0%)

Compiler

Compiled 13444 to 11502 computations (14.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	22
1	101	22

end1.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

sample1.1s (10.7%)

Algorithm

1×

intervals

Results

402.0ms	8000×	body	128	valid
165.0ms	3016×	body	128	invalid

Compiler

Compiled 122 to 123 computations (-0.8% saved)

Details

analyze1.1s (10%)

sample35.0ms (0.3%)

simplify358.0ms (3.3%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite195.0ms (1.8%)

series1.0s (9.6%)

simplify66.0ms (0.6%)

prune149.0ms (1.4%)

localize10.0ms (0.1%)

rewrite276.0ms (2.6%)

series1.0s (9.5%)

simplify75.0ms (0.7%)

prune206.0ms (1.9%)

localize12.0ms (0.1%)

rewrite508.0ms (4.7%)

series1.0s (9.6%)

simplify96.0ms (0.9%)

prune332.0ms (3.1%)

localize11.0ms (0.1%)

rewrite192.0ms (1.8%)

series1.0s (9.5%)

simplify67.0ms (0.6%)

prune134.0ms (1.3%)

regimes1.7s (15.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.1s (10.7%)

Profiling