Details

analyze1.4s (14.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

Compiler

Compiled 18 to 18 computations (0% saved)

sample33.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
4.0ms	80×	body	128	invalid

Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify147.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	788	25
1	788	25

prune3.0ms (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

3.6b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

5.1b	(.f64 (.f64 (*.f64 y 9) z) t)
0.7b	(.f64 (.f64 a 27) b)
0.2b	(.f64 (.f64 y 9) z)
0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
0.2b	(.f64 (.f64 y 9) z)
0.7b	(.f64 (.f64 a 27) b)
5.1b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
12×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `pow-prod-down_binary64_21632`
9×	`associate-r_binary64_21501`
7×	`add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561` `add-cube-cbrt_binary64_21596`
6×	`add-log-exp_binary64_21600`
3×	`-commutative_binary64_21492` `associate-l*_binary64_21502`
1×	`cancel-sign-sub-inv_binary64_21527` `flip3--_binary64_21565` `diff-log_binary64_21653` `sub-neg_binary64_21554` `flip--_binary64_21536`

Counts

4 → 69

Calls

8 calls:

7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(.f64 (.f64 y 9) z)
5.0ms	(.f64 (.f64 a 27) b)
4.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
0.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))

series472.0ms (4.9%)

Counts

4 → 45

Calls

4 calls:

248.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
116.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
54.0ms	(.f64 (.f64 a 27) b)
53.0ms	(.f64 (.f64 y 9) z)

Compiler

Compiled 1258 to 1280 computations (-1.7% saved)

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5053	1304

prune160.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	105	9	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	9	115

Error

0.0b

Counts

115 → 9

Compiler

Compiled 2361 to 1554 computations (34.2% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

5.1b	(.f64 (.f64 (*.f64 y 9) z) t)
0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 a (.f64 27 b))
0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
0.2b	(.f64 a (.f64 27 b))
0.2b	(.f64 (.f64 y 9) z)
5.1b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
12×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `pow-prod-down_binary64_21632`
7×	`add-sqr-sqrt_binary64_21583` `associate-r_binary64_21501` `*-un-lft-identity_binary64_21561` `add-cube-cbrt_binary64_21596`
6×	`add-log-exp_binary64_21600`
5×	`associate-l_binary64_21502`
3×	`*-commutative_binary64_21492`
1×	`cancel-sign-sub-inv_binary64_21527` `flip3--_binary64_21565` `diff-log_binary64_21653` `sub-neg_binary64_21554` `flip--_binary64_21536`

Counts

4 → 69

Calls

8 calls:

7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(.f64 (.f64 y 9) z)
5.0ms	(.f64 a (.f64 27 b))
4.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
0.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))

series467.0ms (4.9%)

Counts

4 → 45

Calls

4 calls:

243.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
117.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
54.0ms	(.f64 a (.f64 27 b))
53.0ms	(.f64 (.f64 y 9) z)

Compiler

Compiled 1258 to 1280 computations (-1.7% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4905	1302
1	4905	1302

prune117.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	113	10	123

Error

0.0b

Counts

123 → 10

Compiler

Compiled 2367 to 1558 computations (34.2% saved)

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

5.1b	(.f64 (.f64 y (*.f64 9 z)) t)
0.7b	(.f64 (.f64 a 27) b)
0.2b	(.f64 y (.f64 9 z))
0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t))
0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t))
0.2b	(.f64 y (.f64 9 z))
0.7b	(.f64 (.f64 a 27) b)
5.1b	(.f64 (.f64 y (*.f64 9 z)) t)

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
12×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `pow-prod-down_binary64_21632`
7×	`add-sqr-sqrt_binary64_21583` `associate-r_binary64_21501` `*-un-lft-identity_binary64_21561` `add-cube-cbrt_binary64_21596`
6×	`add-log-exp_binary64_21600`
5×	`associate-l_binary64_21502`
3×	`*-commutative_binary64_21492`
1×	`cancel-sign-sub-inv_binary64_21527` `flip3--_binary64_21565` `diff-log_binary64_21653` `sub-neg_binary64_21554` `flip--_binary64_21536`

Counts

4 → 69

Calls

8 calls:

7.0ms	(.f64 (.f64 y (*.f64 9 z)) t)
5.0ms	(.f64 (.f64 a 27) b)
5.0ms	(.f64 y (.f64 9 z))
4.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t))
0.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t))

series459.0ms (4.8%)

Counts

4 → 45

Calls

4 calls:

245.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t))
112.0ms	(.f64 (.f64 y (*.f64 9 z)) t)
52.0ms	(.f64 y (.f64 9 z))
51.0ms	(.f64 (.f64 a 27) b)

Compiler

Compiled 1258 to 1280 computations (-1.7% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5092	1305

prune119.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	115	9	124

Error

0.0b

Counts

124 → 9

Compiler

Compiled 2314 to 1512 computations (34.7% saved)

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 (.f64 y 9) z)
0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y 9) z)) (cbrt.f64 (.f64 (.f64 y 9) z))) (cbrt.f64 (.f64 (.f64 y 9) z))) t))
5.1b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y 9) z)) (cbrt.f64 (.f64 (.f64 y 9) z))) (cbrt.f64 (.f64 (*.f64 y 9) z))) t)
12.7b	(cbrt.f64 (.f64 (.f64 y 9) z))
12.7b	(cbrt.f64 (.f64 (.f64 y 9) z))
12.7b	(cbrt.f64 (.f64 (.f64 y 9) z))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_21599` `pow1_binary64_21622`
9×	`add-cbrt-cube_binary64_21597`
6×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `pow-prod-down_binary64_21632`
5×	`add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561` `add-cube-cbrt_binary64_21596`
4×	`add-log-exp_binary64_21600`
3×	`associate-r_binary64_21501` `pow1/3_binary64_21643` `cbrt-prod_binary64_21592`
1×	`-commutative_binary64_21492` `associate-l*_binary64_21502`

Counts

4 → 48

Calls

8 calls:

13.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y 9) z)) (cbrt.f64 (.f64 (.f64 y 9) z))) (cbrt.f64 (.f64 (*.f64 y 9) z))) t)
4.0ms	(cbrt.f64 (.f64 (.f64 y 9) z))
4.0ms	(cbrt.f64 (.f64 (.f64 y 9) z))
4.0ms	(cbrt.f64 (.f64 (.f64 y 9) z))
0.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y 9) z)) (cbrt.f64 (.f64 (.f64 y 9) z))) (cbrt.f64 (.f64 (.f64 y 9) z))) t))

series943.0ms (9.8%)

Counts

4 → 27

Calls

4 calls:

281.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y 9) z)) (cbrt.f64 (.f64 (.f64 y 9) z))) (cbrt.f64 (.f64 (*.f64 y 9) z))) t)
227.0ms	(cbrt.f64 (.f64 (.f64 y 9) z))
217.0ms	(cbrt.f64 (.f64 (.f64 y 9) z))
217.0ms	(cbrt.f64 (.f64 (.f64 y 9) z))

Compiler

Compiled 1748 to 1604 computations (8.2% saved)

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4921	837
1	4921	837

prune101.0ms (1.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	75	9	84

Error

0.0b

Counts

84 → 9

Compiler

Compiled 2214 to 1494 computations (32.5% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	467	688
1	467	688

regimes1.1s (11.4%)

Compiler: Compiled 8138 to 8248 computations (-1.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 9 computations (-80% saved)

regimes576.0ms (6%)

Compiler: Compiled 2475 to 3071 computations (-24.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 17 to 17 computations (0% saved)

regimes269.0ms (2.8%)

Compiler: Compiled 1106 to 1516 computations (-37.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 8 computations (-166.7% saved)

regimes231.0ms (2.4%)

Compiler: Compiled 875 to 1253 computations (-43.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 8 computations (-166.7% saved)

regimes210.0ms (2.2%)

Compiler: Compiled 600 to 940 computations (-56.7% saved)

bsearch43.0ms (0.4%)

Steps

Iters	Range		Point
7	1.1353342212667984e-30	2.2277353427980002e-29	3.5090739385761904e-30
6	-4.900116561392053e-41	-3.9244281492382075e-42	-3.4851078552318456e-41

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes179.0ms (1.9%)

Compiler: Compiled 340 to 660 computations (-94.1% saved)

bsearch45.0ms (0.5%)

Steps

Iters	Range		Point
7	1.1353342212667984e-30	2.2277353427980002e-29	5.855129180921564e-30
7	-2.588185096823774e-39	-4.900116561392053e-41	-1.5096281157144727e-39

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes119.0ms (1.2%)

Compiler: Compiled 236 to 548 computations (-132.2% saved)

bsearch0.0ms (0%)

regimes59.0ms (0.6%)

Compiler: Compiled 30 to 198 computations (-560% saved)

bsearch0.0ms (0%)

regimes52.0ms (0.5%)

Accuracy

Total 0.7b remaining (96.4%)

Threshold costs 0.7b (96.4%)

Compiler

Compiled 24 to 156 computations (-550% saved)

bsearch14.0ms (0.1%)

Compiler: Compiled 353 to 283 computations (19.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	178	474
1	178	474

end0.0ms (0%)

sample1.7s (18%)

Algorithm

1×

intervals

Results

420.0ms	8000×	body	128	valid
147.0ms	3034×	body	128	invalid

Compiler

Compiled 838 to 780 computations (6.9% saved)

Pareto

0.6996108422977939

Details

analyze1.4s (14.8%)

sample33.0ms (0.3%)

simplify147.0ms (1.5%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite26.0ms (0.3%)

series472.0ms (4.9%)

simplify67.0ms (0.7%)

prune160.0ms (1.7%)

localize13.0ms (0.1%)

rewrite27.0ms (0.3%)

series467.0ms (4.9%)

simplify85.0ms (0.9%)

prune117.0ms (1.2%)

localize16.0ms (0.2%)

rewrite26.0ms (0.3%)

series459.0ms (4.8%)

simplify73.0ms (0.8%)

prune119.0ms (1.2%)

localize18.0ms (0.2%)

rewrite30.0ms (0.3%)

series943.0ms (9.8%)

simplify115.0ms (1.2%)

prune101.0ms (1.1%)

simplify17.0ms (0.2%)

regimes1.1s (11.4%)

bsearch1.0ms (0%)

regimes576.0ms (6%)

bsearch1.0ms (0%)

regimes269.0ms (2.8%)

bsearch1.0ms (0%)

regimes231.0ms (2.4%)

bsearch1.0ms (0%)

regimes210.0ms (2.2%)

bsearch43.0ms (0.4%)

regimes179.0ms (1.9%)

bsearch45.0ms (0.5%)

regimes119.0ms (1.2%)

bsearch0.0ms (0%)

regimes59.0ms (0.6%)

bsearch0.0ms (0%)

regimes52.0ms (0.5%)

bsearch14.0ms (0.1%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.7s (18%)

Profiling