Details

analyze1.8s (15.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4844	143
1	4844	143
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14
24.1%	74.7%	1.3%	14

Compiler

Compiled 20 to 20 computations (0% saved)

sample884.0ms (8%)

Algorithm

2×

intervals

Results

16.0ms	512×	body	128	valid
8.0ms	166×	body	128	invalid

Compiler

Compiled 3409 to 5109 computations (-49.9% saved)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	719	13
1	719	13

prune2.0ms (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

6.4b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
7.0b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite95.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_11012`
15×	`*-un-lft-identity_binary64_10990`
13×	`cancel-sign-sub-inv_binary64_10956`
11×	`add-cube-cbrt_binary64_11025`
10×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
6×	`times-frac_binary64_10996`
5×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `associate-r_binary64_10930`
4×	`associate-*r/_binary64_10932` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
3×	`flip3--_binary64_10994` `flip--_binary64_10965` `associate-/r_binary64_10934` `sub-neg_binary64_10983` `associate-l*_binary64_10931`
2×	`prod-exp_binary64_11039` `div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `cbrt-unprod_binary64_11023` `div-inv_binary64_10987` `associate-/l/_binary64_10937` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`
1×	`frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/l_binary64_10935` `diff-log_binary64_11082` `pow-prod-down_binary64_11061` `unswap-sqr_binary64_10958` `-commutative_binary64_10921`

Counts

3 → 73

Calls

3 calls:

7.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms	(*.f64 y (-.f64 z t))
5.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Compiler

Compiled 1187 to 331 computations (72.1% saved)

series998.0ms (9%)

Error

0.1b

Counts

3 → 63

Calls

3 calls:

525.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
290.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
142.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1636 to 1032 computations (36.9% saved)

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5027	1503

prune99.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	131	5	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	6	137

Error

0.0b

Counts

137 → 6

Compiler

Compiled 1569 to 302 computations (80.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b	(/.f64 a (-.f64 z t))
5.8b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite274.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

249×	`times-frac_binary64_10996`
179×	`add-sqr-sqrt_binary64_11012`
172×	`*-un-lft-identity_binary64_10990`
120×	`add-cube-cbrt_binary64_11025`
68×	`cancel-sign-sub-inv_binary64_10956`
28×	`difference-of-squares_binary64_10959`
26×	`distribute-lft-out--_binary64_10942` `associate-/r*_binary64_10934`
18×	`associate-/r/_binary64_10936`
10×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `div-inv_binary64_10987`
9×	`flip3--_binary64_10994` `flip--_binary64_10965`
6×	`associate-/l*_binary64_10935`
5×	`add-log-exp_binary64_11029`
4×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
3×	`pow1_binary64_11051`
2×	`frac-2neg_binary64_11001` `clear-num_binary64_10989`
1×	`diff-log_binary64_11082` `sub-neg_binary64_10983`

Counts

3 → 222

Calls

3 calls:

27.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
5.0ms	(/.f64 a (-.f64 z t))

Compiler

Compiled 4636 to 1117 computations (75.9% saved)

series987.0ms (8.9%)

Error

0.0b

Counts

3 → 63

Calls

3 calls:

497.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
318.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
139.0ms	(/.f64 a (-.f64 z t))

Compiler

Compiled 1777 to 1164 computations (34.5% saved)

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5045	5346

prune212.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	282	3	285
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	285	6	291

Error

Counts

291 → 6

Compiler

Compiled 4527 to 738 computations (83.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
1.4b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 y (/.f64 (cbrt.f64 a) (cbrt.f64 (-.f64 z t)))))

rewrite480.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

331×	`times-frac_binary64_10996`
222×	`add-sqr-sqrt_binary64_11012`
186×	`*-un-lft-identity_binary64_10990`
179×	`cbrt-prod_binary64_11021`
167×	`associate-r_binary64_10930`
150×	`add-cube-cbrt_binary64_11025`
73×	`add-exp-log_binary64_11028`
39×	`add-cbrt-cube_binary64_11026`
27×	`div-exp_binary64_11041` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `cbrt-undiv_binary64_11024`
18×	`difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`
12×	`unswap-sqr_binary64_10958`
7×	`associate-/r/_binary64_10936`
6×	`pow1_binary64_11051` `cbrt-div_binary64_11022`
5×	`associate-l_binary64_10931` `div-inv_binary64_10987`
4×	`add-log-exp_binary64_11029`
3×	`flip3--_binary64_10994` `flip--_binary64_10965` `pow1/3_binary64_11072`
1×	`pow-prod-down_binary64_11061` `frac-times_binary64_11000` `associate-l/_binary64_10933` `associate-r/_binary64_10932` `*-commutative_binary64_10921`

Counts

4 → 259

Calls

4 calls:

68.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 y (/.f64 (cbrt.f64 a) (cbrt.f64 (-.f64 z t)))))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

Compiler

Compiled 10889 to 1543 computations (85.8% saved)

series840.0ms (7.6%)

Error

Counts

4 → 27

Calls

4 calls:

447.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 y (/.f64 (cbrt.f64 a) (cbrt.f64 (-.f64 z t)))))
134.0ms	(cbrt.f64 a)
122.0ms	(cbrt.f64 a)
116.0ms	(cbrt.f64 a)

Compiler

Compiled 1370 to 813 computations (40.7% saved)

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5226	9429

prune383.0ms (3.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	286	0	286
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	286	6	292

Error

Counts

292 → 6

Compiler

Compiled 9753 to 1889 computations (80.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.8b	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) a) (*.f64 (-.f64 z t) (cbrt.f64 y)))

rewrite91.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-exp-log_binary64_11028`
18×	`add-cbrt-cube_binary64_11026`
11×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
9×	`pow1_binary64_11051` `add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990` `cbrt-prod_binary64_11021`
7×	`associate-l_binary64_10931`
5×	`associate-*l/_binary64_10933`
4×	`div-exp_binary64_11041` `add-log-exp_binary64_11029` `cbrt-undiv_binary64_11024`
3×	`pow-prod-down_binary64_11061` `times-frac_binary64_10996` `pow1/3_binary64_11072`
2×	`flip3--_binary64_10994` `frac-times_binary64_11000` `flip--_binary64_10965` `associate-*r/_binary64_10932`
1×	`div-inv_binary64_10987` `associate-r_binary64_10930` `*-commutative_binary64_10921`

Counts

4 → 68

Calls

4 calls:

13.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) a) (*.f64 (-.f64 z t) (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1577 to 340 computations (78.4% saved)

series693.0ms (6.2%)

Error

Counts

4 → 27

Calls

4 calls:

354.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) a) (*.f64 (-.f64 z t) (cbrt.f64 y)))
109.0ms	(cbrt.f64 y)
106.0ms	(cbrt.f64 y)
105.0ms	(cbrt.f64 y)

Compiler

Compiled 1035 to 711 computations (31.3% saved)

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5087	888

prune73.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	95	6	101

Error

Counts

101 → 6

Compiler

Compiled 1486 to 353 computations (76.2% saved)

regimes1.1s (9.8%)

Accuracy

Total 1.6b remaining (100%)

Threshold costs 0b (0%)

Compiler

Compiled 7672 to 6069 computations (20.9% saved)

bsearch2.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	266	63
1	266	63

end0.0ms (0%)

sample1.8s (15.8%)

Algorithm

1×

intervals

Results

474.0ms	8000×	body	128	valid
104.0ms	2799×	body	128	invalid

Compiler

Compiled 910 to 701 computations (23% saved)

Details

analyze1.8s (15.9%)

sample884.0ms (8%)

simplify52.0ms (0.5%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite95.0ms (0.9%)

series998.0ms (9%)

simplify60.0ms (0.5%)

prune99.0ms (0.9%)

localize8.0ms (0.1%)

rewrite274.0ms (2.5%)

series987.0ms (8.9%)

simplify99.0ms (0.9%)

prune212.0ms (1.9%)

localize15.0ms (0.1%)

rewrite480.0ms (4.3%)

series840.0ms (7.6%)

simplify102.0ms (0.9%)

prune383.0ms (3.4%)

localize11.0ms (0.1%)

rewrite91.0ms (0.8%)

series693.0ms (6.2%)

simplify38.0ms (0.3%)

prune73.0ms (0.7%)

regimes1.1s (9.8%)

bsearch2.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.8s (15.8%)

Profiling