Details

analyze655.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1161	52
1	1161	52
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample17.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	537	13
1	537	13

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

4.4b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
0.0b	(-.f64 1 (*.f64 (-.f64 1 y) z))
4.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite119.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.3b

Rules

14×	`add-sqr-sqrt_binary64_19196`
10×	`*-un-lft-identity_binary64_19174`
9×	`associate-l_binary64_19115`
7×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210` `add-cube-cbrt_binary64_19209`
6×	`associate-r_binary64_19114`
5×	`add-log-exp_binary64_19213`
3×	`sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140` `flip3--_binary64_19178` `flip--_binary64_19149`
2×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142` `distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123` `associate-r/_binary64_19116` `-commutative_binary64_19105` `associate-*l/_binary64_19117` `difference-of-squares_binary64_19143`
1×	`diff-log_binary64_19266` `distribute-lft-out--_binary64_19126`

Counts

3 → 59

Calls

3 calls:

13.0ms	(*.f64 (-.f64 1 y) z)
12.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
11.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))

Compiler

Compiled 982 to 698 computations (28.9% saved)

series332.0ms (3.4%)

Error

4.2b

Counts

3 → 36

Calls

3 calls:

179.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
72.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
63.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 781 to 551 computations (29.4% saved)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5021	1081

prune96.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	10	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Error

4.1b

Counts

96 → 10

Compiler

Compiled 1286 to 682 computations (47% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z y) z)
0.0b	(+.f64 x (.f64 x (-.f64 (.f64 z y) z)))
4.1b	(.f64 x (-.f64 (.f64 z y) z))

rewrite61.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

4.1b

Rules

15×	`cancel-sign-sub-inv_binary64_19140`
12×	`add-sqr-sqrt_binary64_19196`
10×	`add-cube-cbrt_binary64_19209` `*-un-lft-identity_binary64_19174`
8×	`distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123` `associate-+r+_binary64_19106`
7×	`add-log-exp_binary64_19213`
5×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210` `sub-neg_binary64_19167`
3×	`associate-l_binary64_19115` `associate-r_binary64_19114`
2×	`flip3--_binary64_19178` `associate-*r/_binary64_19116` `flip--_binary64_19149`
1×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142` `*-commutative_binary64_19105` `sum-log_binary64_19265` `flip3-+_binary64_19177` `flip-+_binary64_19148` `+-commutative_binary64_19104` `diff-log_binary64_19266`

Counts

3 → 61

Calls

3 calls:

8.0ms	(.f64 x (-.f64 (.f64 z y) z))
4.0ms	(+.f64 x (.f64 x (-.f64 (.f64 z y) z)))
4.0ms	(-.f64 (*.f64 z y) z)

Compiler

Compiled 1028 to 239 computations (76.8% saved)

series406.0ms (4.1%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

185.0ms	(+.f64 x (.f64 x (-.f64 (.f64 z y) z)))
139.0ms	(.f64 x (-.f64 (.f64 z y) z))
57.0ms	(-.f64 (*.f64 z y) z)

Compiler

Compiled 868 to 524 computations (39.6% saved)

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4934	1138
1	4934	1138

prune69.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	96	11	107

Error

4.1b

Counts

107 → 11

Compiler

Compiled 1338 to 341 computations (74.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 1 y))
0.3b	(cbrt.f64 (-.f64 1 y))
0.3b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
4.1b	(.f64 x (-.f64 1 (.f64 (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))) (.f64 z (cbrt.f64 (-.f64 1 y))))))

rewrite255.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

4.1b

Rules

44×	`add-sqr-sqrt_binary64_19196` `cbrt-prod_binary64_19205`
40×	`*-un-lft-identity_binary64_19174`
16×	`add-cube-cbrt_binary64_19209` `cbrt-div_binary64_19206`
13×	`pow1_binary64_19235`
12×	`associate-l_binary64_19115` `associate-r_binary64_19114` `difference-of-squares_binary64_19143`
11×	`swap-sqr_binary64_19141`
9×	`flip3--_binary64_19178` `flip--_binary64_19149`
8×	`add-exp-log_binary64_19212` `pow1/3_binary64_19256` `distribute-lft-out--_binary64_19126`
6×	`add-cbrt-cube_binary64_19210`
5×	`unswap-sqr_binary64_19142`
4×	`add-log-exp_binary64_19213` `associate-*r/_binary64_19116` `frac-times_binary64_19184`
3×	`pow-prod-down_binary64_19245`
2×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `sub-neg_binary64_19167` `distribute-rgt-in_binary64_19124` `cancel-sign-sub-inv_binary64_19140` `distribute-lft-in_binary64_19123` `-commutative_binary64_19105` `pow-prod-up_binary64_19244` `pow-sqr_binary64_19147` `associate-l/_binary64_19117`
1×	`pow2_binary64_19255` `pow-plus_binary64_19237`

Counts

4 → 115

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
6.0ms	(.f64 x (-.f64 1 (.f64 (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))) (.f64 z (cbrt.f64 (-.f64 1 y))))))
6.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 3428 to 2630 computations (23.3% saved)

series355.0ms (3.6%)

Error

4.1b

Counts

4 → 39

Calls

4 calls:

170.0ms	(.f64 x (-.f64 1 (.f64 (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))) (.f64 z (cbrt.f64 (-.f64 1 y))))))
59.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
46.0ms	(cbrt.f64 (-.f64 1 y))
34.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 1695 to 1370 computations (19.2% saved)

simplify159.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4873	2181
1	4873	2181

prune250.0ms (2.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	153	12	165

Error

4.1b

Counts

165 → 12

Compiler

Compiled 3572 to 2586 computations (27.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(.f64 x (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))))
4.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
4.4b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
4.4b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))

rewrite218.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

4.1b

Rules

18×	`cbrt-div_binary64_19206`
13×	`cbrt-prod_binary64_19205` `add-sqr-sqrt_binary64_19196`
12×	`*-un-lft-identity_binary64_19174`
10×	`associate-*r/_binary64_19116`
9×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `flip3--_binary64_19178` `flip--_binary64_19149`
8×	`add-cube-cbrt_binary64_19209`
7×	`add-cbrt-cube_binary64_19210`
4×	`add-log-exp_binary64_19213` `frac-times_binary64_19184`
3×	`pow1/3_binary64_19256` `pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `associate-l_binary64_19115`
2×	`difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126` `associate-*l/_binary64_19117`
1×	`unswap-sqr_binary64_19142` `associate-r_binary64_19114` `*-commutative_binary64_19105`

Counts

4 → 70

Calls

4 calls:

21.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))))
12.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
11.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

Compiler

Compiled 2874 to 1755 computations (38.9% saved)

series2.8s (28.2%)

Error

4.1b

Counts

4 → 87

Calls

4 calls:

1.3s	(.f64 x (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))))
394.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
358.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
343.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

Compiler

Compiled 14129 to 11012 computations (22.1% saved)

simplify141.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5373	8638

prune530.0ms (5.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	156	13	169

Error

4.1b

Counts

169 → 13

Compiler

Compiled 8560 to 5415 computations (36.7% saved)

regimes1.3s (13%)

Accuracy

Total 0.1b remaining (78.7%)

Threshold costs 0.1b (78.7%)

Compiler

Compiled 8425 to 6913 computations (17.9% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	295	58
1	295	58

end0.0ms (0%)

sample1.8s (18.7%)

Algorithm

1×

intervals

Results

279.0ms	8000×	body	128	valid
30.0ms	719×	body	128	invalid

Compiler

Compiled 1141 to 916 computations (19.7% saved)

Details

analyze655.0ms (6.6%)

sample17.0ms (0.2%)

simplify39.0ms (0.4%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite119.0ms (1.2%)

series332.0ms (3.4%)

simplify59.0ms (0.6%)

prune96.0ms (1%)

localize6.0ms (0.1%)

rewrite61.0ms (0.6%)

series406.0ms (4.1%)

simplify129.0ms (1.3%)

prune69.0ms (0.7%)

localize12.0ms (0.1%)

rewrite255.0ms (2.6%)

series355.0ms (3.6%)

simplify159.0ms (1.6%)

prune250.0ms (2.5%)

localize15.0ms (0.2%)

rewrite218.0ms (2.2%)

series2.8s (28.2%)

simplify141.0ms (1.4%)

prune530.0ms (5.4%)

regimes1.3s (13%)

bsearch2.0ms (0%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample1.8s (18.7%)

Profiling