Details

analyze1.7s (20.1%)

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
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample40.0ms (0.5%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
2.0ms	34×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify474.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (316.0ms)

Iter	Nodes	Cost
0	4973	16
1	4973	16

prune12.0ms (0.1%)

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

Merged error: 10.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.0b	(-.f64 t (*.f64 a z))
10.4b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_18151` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186`
9×	`times-frac_binary64_18157`
7×	`add-log-exp_binary64_18190`
5×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
4×	`flip3--_binary64_18155` `flip--_binary64_18126`
3×	`pow1_binary64_18212` `associate-/l_binary64_18096` `associate-/r_binary64_18095`
2×	`diff-log_binary64_18243` `associate-/l/_binary64_18098` `cancel-sign-sub-inv_binary64_18117` `sub-neg_binary64_18144` `associate-/r/_binary64_18097`
1×	`div-exp_binary64_18202` `div-inv_binary64_18148` `clear-num_binary64_18150` `frac-2neg_binary64_18162` `div-sub_binary64_18156` `cbrt-undiv_binary64_18185`

Counts

3 → 56

Calls

3 calls:

12.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
5.0ms	(-.f64 x (*.f64 y z))
5.0ms	(-.f64 t (*.f64 a z))

series263.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

156.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
56.0ms	(-.f64 x (*.f64 y z))
50.0ms	(-.f64 t (*.f64 a z))

simplify116.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5807	1136

prune119.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	54	11	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	12	66

Merged error: 10.3b

Counts

66 → 12

Compiler

Compiled 1343 to 323 computations (75.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.0b	(-.f64 t (*.f64 z a))
0.4b	(/.f64 1 (-.f64 t (*.f64 z a)))
10.0b	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite60.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_18173`
21×	`*-un-lft-identity_binary64_18151`
20×	`times-frac_binary64_18157` `add-cube-cbrt_binary64_18186`
17×	`add-exp-log_binary64_18189`
15×	`associate-r_binary64_18091`
11×	`add-cbrt-cube_binary64_18187`
8×	`add-log-exp_binary64_18190`
7×	`pow1_binary64_18212`
6×	`flip3--_binary64_18155` `flip--_binary64_18126`
4×	`div-exp_binary64_18202` `associate-/r/_binary64_18097` `prod-exp_binary64_18200`
3×	`associate-/l_binary64_18096` `unswap-sqr_binary64_18119` `associate-l_binary64_18092` `associate-/r_binary64_18095`
2×	`1-exp_binary64_18195` `div-inv_binary64_18148` `diff-log_binary64_18243` `associate-*l/_binary64_18094` `rec-exp_binary64_18201` `cancel-sign-sub-inv_binary64_18117` `sub-neg_binary64_18144` `frac-times_binary64_18161` `cbrt-unprod_binary64_18184` `cbrt-undiv_binary64_18185`
1×	`inv-pow_binary64_18236` `associate-r/_binary64_18093` `pow-flip_binary64_18225` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `un-div-inv_binary64_18149` `clear-num_binary64_18150` `frac-2neg_binary64_18162`

Counts

4 → 99

Calls

4 calls:

24.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
9.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
6.0ms	(-.f64 t (*.f64 z a))
5.0ms	(-.f64 x (*.f64 y z))

series330.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
73.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
49.0ms	(-.f64 x (*.f64 y z))
47.0ms	(-.f64 t (*.f64 z a))

simplify124.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4980	1729
1	4980	1729

prune164.0ms (1.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	111	12	123

Merged error: 10.3b

Counts

123 → 12

Compiler

Compiled 2238 to 632 computations (71.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (*.f64 z a))
0.0b	(-.f64 x (*.f64 y z))
0.6b	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
10.2b	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))

rewrite67.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_18157`
56×	`*-un-lft-identity_binary64_18151` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186`
18×	`associate-/r*_binary64_18095`
17×	`add-exp-log_binary64_18189`
11×	`add-cbrt-cube_binary64_18187` `associate-/r/_binary64_18097`
8×	`div-exp_binary64_18202` `flip3--_binary64_18155` `flip--_binary64_18126` `add-log-exp_binary64_18190`
6×	`div-inv_binary64_18148` `associate-/l*_binary64_18096`
5×	`pow1_binary64_18212`
4×	`cbrt-undiv_binary64_18185`
2×	`1-exp_binary64_18195` `diff-log_binary64_18243` `rec-exp_binary64_18201` `associate-/l/_binary64_18098` `cancel-sign-sub-inv_binary64_18117` `sub-neg_binary64_18144` `clear-num_binary64_18150` `frac-2neg_binary64_18162`
1×	`inv-pow_binary64_18236` `pow-flip_binary64_18225` `div-sub_binary64_18156`

Counts

4 → 140

Calls

4 calls:

17.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
12.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))
6.0ms	(-.f64 t (*.f64 z a))
6.0ms	(-.f64 x (*.f64 y z))

series569.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

340.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
134.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))
48.0ms	(-.f64 x (*.f64 y z))
46.0ms	(-.f64 t (*.f64 z a))

simplify129.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4987	3768
1	4987	3768

prune200.0ms (2.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	3	6	9
Picked	0	1	1
Done	0	2	2
Total	153	11	164

Merged error: 10.3b

Counts

164 → 11

Compiler

Compiled 3484 to 758 computations (78.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.2b	(cbrt.f64 (/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a))))
10.4b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a)))
10.4b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a)))
10.4b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a)))

rewrite71.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_18157`
35×	`*-un-lft-identity_binary64_18151` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186`
15×	`cbrt-prod_binary64_18182`
10×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
9×	`associate-/l_binary64_18096` `associate-/r_binary64_18095`
8×	`associate-/r/_binary64_18097`
7×	`flip3--_binary64_18155` `flip--_binary64_18126`
6×	`associate-/l/_binary64_18098`
4×	`div-inv_binary64_18148` `pow1_binary64_18212` `add-log-exp_binary64_18190`
3×	`div-exp_binary64_18202` `clear-num_binary64_18150` `frac-2neg_binary64_18162` `div-sub_binary64_18156` `cbrt-undiv_binary64_18185`
1×	`pow1/3_binary64_18233` `cbrt-div_binary64_18183`

Counts

4 → 120

Calls

4 calls:

14.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a)))
11.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a)))
11.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a)))
8.0ms	(cbrt.f64 (/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a))))

series860.0ms (10.2%)

Counts

4 → 12

Calls

4 calls:

485.0ms	(cbrt.f64 (/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a))))
127.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a)))
125.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a)))
123.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 z a)))

simplify116.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5582	3308

prune243.0ms (2.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	132	11	143

Merged error: 10.3b

Counts

143 → 11

Compiler

Compiled 6215 to 571 computations (90.8% saved)

regimes595.0ms (7.1%)

Compiler: Compiled 3752 to 2458 computations (34.5% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	57	16
1	57	16

end0.0ms (0%)

sample2.0s (24.4%)

Algorithm

1×

intervals

Results

566.0ms	8000×	body	128	valid
57.0ms	762×	body	128	invalid

Compiler

Compiled 694 to 447 computations (35.6% saved)

Details

analyze1.7s (20.1%)

sample40.0ms (0.5%)

simplify474.0ms (5.6%)

prune12.0ms (0.1%)

localize16.0ms (0.2%)

rewrite30.0ms (0.4%)

series263.0ms (3.1%)

simplify116.0ms (1.4%)

prune119.0ms (1.4%)

localize20.0ms (0.2%)

rewrite60.0ms (0.7%)

series330.0ms (3.9%)

simplify124.0ms (1.5%)

prune164.0ms (1.9%)

localize18.0ms (0.2%)

rewrite67.0ms (0.8%)

series569.0ms (6.8%)

simplify129.0ms (1.5%)

prune200.0ms (2.4%)

localize23.0ms (0.3%)

rewrite71.0ms (0.8%)

series860.0ms (10.2%)

simplify116.0ms (1.4%)

prune243.0ms (2.9%)

regimes595.0ms (7.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.0s (24.4%)

Profiling