Details

analyze2.8s (11.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5046	1591
0	9	9
1	9	9

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample117.0ms (0.5%)

Algorithm

1×

intervals

Results

39.0ms	343×	body	128	invalid
24.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify718.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (707.0ms)

Iter	Nodes	Cost
0	4635	43
1	4635	43

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

11.5b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 t i)))) (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
4.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.7b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.7b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite273.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

Rules

34×	`associate-*r/_binary64_24572`
19×	`flip3--_binary64_24634` `flip--_binary64_24605`
16×	`add-sqr-sqrt_binary64_24652`
12×	`frac-add_binary64_24638`
11×	`sub-neg_binary64_24623` `cancel-sign-sub-inv_binary64_24596`
10×	`pow1_binary64_24691` `add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666` `add-cube-cbrt_binary64_24665` `*-un-lft-identity_binary64_24630` `distribute-rgt-in_binary64_24580` `distribute-lft-in_binary64_24579`
9×	`add-log-exp_binary64_24669` `associate-l_binary64_24571` `associate-r_binary64_24570`
8×	`frac-sub_binary64_24639`
6×	`associate-+l+_binary64_24563`
4×	`associate--l+_binary64_24567` `associate-+r+_binary64_24562`
3×	`pow-prod-down_binary64_24701` `prod-exp_binary64_24679` `cbrt-unprod_binary64_24663` `unswap-sqr_binary64_24598` `*-commutative_binary64_24561`
2×	`sum-log_binary64_24721`
1×	`diff-log_binary64_24722` `flip3-+_binary64_24633` `flip-+_binary64_24604` `associate-+l-_binary64_24565` `+-commutative_binary64_24560`

Counts

4 → 107

Calls

4 calls:

32.0ms	(+.f64 (-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 t i)))) (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
13.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
12.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

Compiler

Compiled 5754 to 624 computations (89.2% saved)

series3.1s (12.4%)

Error

0.2b

Counts

4 → 135

Calls

4 calls:

1.7s	(+.f64 (-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 t i)))) (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
592.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
330.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
320.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

Compiler

Compiled 9612 to 5014 computations (47.8% saved)

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5276	7913

prune332.0ms (1.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	227	15	242
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	228	15	243

Error

0.2b

Counts

243 → 15

Compiler

Compiled 9397 to 982 computations (89.5% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.0b	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))
3.0b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x)))
5.7b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.7b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite192.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

22×	`pow1_binary64_24691` `add-exp-log_binary64_24668`
19×	`add-sqr-sqrt_binary64_24652`
15×	`add-cbrt-cube_binary64_24666`
13×	`associate-r_binary64_24570`
11×	`pow-prod-down_binary64_24701` `prod-exp_binary64_24679` `add-cube-cbrt_binary64_24665` `cbrt-unprod_binary64_24663` `*-un-lft-identity_binary64_24630`
10×	`associate-l_binary64_24571`
6×	`associate-*r/_binary64_24572`
4×	`add-log-exp_binary64_24669` `unswap-sqr_binary64_24598` `sub-neg_binary64_24623` `distribute-rgt-in_binary64_24580` `cancel-sign-sub-inv_binary64_24596` `distribute-lft-in_binary64_24579` `flip3--_binary64_24634` `flip--_binary64_24605` `-commutative_binary64_24561` `associate-l/_binary64_24573` `cbrt-prod_binary64_24661`

Counts

4 → 96

Calls

4 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x)))
13.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
10.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
8.0ms	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))

Compiler

Compiled 4356 to 512 computations (88.2% saved)

series2.0s (8%)

Error

0.2b

Counts

4 → 108

Calls

4 calls:

782.0ms	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))
392.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x)))
372.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
355.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

Compiler

Compiled 9630 to 4821 computations (49.9% saved)

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5158	2853

prune254.0ms (1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	204	15	219

Error

0.2b

Counts

219 → 15

Compiler

Compiled 7924 to 789 computations (90% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j)))
3.3b	(.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j))
4.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.7b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite192.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

22×	`pow1_binary64_24691` `add-exp-log_binary64_24668`
19×	`add-sqr-sqrt_binary64_24652`
15×	`add-cbrt-cube_binary64_24666`
13×	`associate-r_binary64_24570`
11×	`pow-prod-down_binary64_24701` `prod-exp_binary64_24679` `add-cube-cbrt_binary64_24665` `cbrt-unprod_binary64_24663` `*-un-lft-identity_binary64_24630`
10×	`associate-l_binary64_24571`
6×	`associate-*r/_binary64_24572`
4×	`add-log-exp_binary64_24669` `unswap-sqr_binary64_24598` `sub-neg_binary64_24623` `distribute-rgt-in_binary64_24580` `cancel-sign-sub-inv_binary64_24596` `distribute-lft-in_binary64_24579` `flip3--_binary64_24634` `flip--_binary64_24605` `-commutative_binary64_24561` `cbrt-prod_binary64_24661` `associate-l/_binary64_24573`

Counts

4 → 96

Calls

4 calls:

29.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j)))
15.0ms	(.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j))
11.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

Compiler

Compiled 4356 to 487 computations (88.8% saved)

series1.9s (7.5%)

Error

0.2b

Counts

4 → 108

Calls

4 calls:

730.0ms	(.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j))
348.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
339.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j)))
334.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

Compiler

Compiled 9630 to 4793 computations (50.2% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5806	2853

prune235.0ms (0.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	204	15	219

Error

0.2b

Counts

219 → 15

Compiler

Compiled 7888 to 739 computations (90.6% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (neg.f64 (.f64 t (*.f64 i b))))
4.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.7b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.9b	(.f64 t (.f64 i b))

rewrite157.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

14×	`add-sqr-sqrt_binary64_24652`
13×	`pow1_binary64_24691` `add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666`
12×	`cancel-sign-sub-inv_binary64_24596`
10×	`add-cube-cbrt_binary64_24665` `*-un-lft-identity_binary64_24630`
9×	`associate-l_binary64_24571`
8×	`add-log-exp_binary64_24669`
7×	`associate-r_binary64_24570` `sub-neg_binary64_24623`
6×	`distribute-rgt-in_binary64_24580` `distribute-lft-in_binary64_24579`
5×	`pow-prod-down_binary64_24701` `prod-exp_binary64_24679` `cbrt-unprod_binary64_24663`
4×	`associate-*r/_binary64_24572` `associate--l+_binary64_24567`
3×	`*-commutative_binary64_24561` `flip3--_binary64_24634` `flip--_binary64_24605`
2×	`unswap-sqr_binary64_24598` `diff-log_binary64_24722` `distribute-lft-neg-in_binary64_24587`
1×	`neg-log_binary64_24723` `neg-mul-1_binary64_24626` `distribute-rgt-neg-in_binary64_24588` `cancel-sign-sub_binary64_24595` `neg-sub0_binary64_24625` `associate--r-_binary64_24569`

Counts

4 → 90

Calls

4 calls:

13.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
11.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (neg.f64 (.f64 t (*.f64 i b))))
9.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.0ms	(.f64 t (.f64 i b))

Compiler

Compiled 3085 to 456 computations (85.2% saved)

series1.6s (6.3%)

Error

0.2b

Counts

4 → 105

Calls

4 calls:

712.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (neg.f64 (.f64 t (*.f64 i b))))
371.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
290.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
119.0ms	(.f64 t (.f64 i b))

Compiler

Compiled 6729 to 3687 computations (45.2% saved)

simplify106.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5057	2782

prune187.0ms (0.8%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	195	15	210

Error

0.2b

Counts

210 → 15

Compiler

Compiled 5286 to 362 computations (93.2% saved)

regimes4.4s (17.6%)

Accuracy

Total 4.5b remaining (98.8%)

Threshold costs 0b (0%)

Compiler

Compiled 42004 to 26958 computations (35.8% saved)

bsearch15.0ms (0.1%)

Compiler: Compiled 29 to 23 computations (20.7% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	1115	196
1	1115	196

end0.0ms (0%)

sample5.9s (23.8%)

Algorithm

1×

intervals

Results

1.1s	11048×	body	128	invalid
767.0ms	8000×	body	128	valid

Compiler

Compiled 4445 to 2799 computations (37% saved)

Details

analyze2.8s (11.4%)

sample117.0ms (0.5%)

simplify718.0ms (2.9%)

prune4.0ms (0%)

localize21.0ms (0.1%)

rewrite273.0ms (1.1%)

series3.1s (12.4%)

simplify113.0ms (0.5%)

prune332.0ms (1.3%)

localize39.0ms (0.2%)

rewrite192.0ms (0.8%)

series2.0s (8%)

simplify73.0ms (0.3%)

prune254.0ms (1%)

localize41.0ms (0.2%)

rewrite192.0ms (0.8%)

series1.9s (7.5%)

simplify67.0ms (0.3%)

prune235.0ms (0.9%)

localize33.0ms (0.1%)

rewrite157.0ms (0.6%)

series1.6s (6.3%)

simplify106.0ms (0.4%)

prune187.0ms (0.8%)

regimes4.4s (17.6%)

bsearch15.0ms (0.1%)

simplify44.0ms (0.2%)

end0.0ms (0%)

sample5.9s (23.8%)

Profiling