Details

analyze629.0ms (9.8%)

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
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify241.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	1166	13
1	1166	13

prune5.0ms (0.1%)

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

Merged error: 6.8b

Counts

2 → 2

Compiler

Compiled 49 to 47 computations (4.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
6.9b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite75.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

249×	`times-frac_binary64_16253`
180×	`add-sqr-sqrt_binary64_16269`
171×	`*-un-lft-identity_binary64_16247`
121×	`add-cube-cbrt_binary64_16282`
67×	`associate-r_binary64_16187`
25×	`difference-of-squares_binary64_16216` `distribute-lft-out--_binary64_16199`
24×	`associate-/l*_binary64_16192`
19×	`add-exp-log_binary64_16285` `add-cbrt-cube_binary64_16283`
16×	`associate-/r/_binary64_16193`
10×	`div-inv_binary64_16244`
8×	`flip3--_binary64_16251` `flip--_binary64_16222` `associate-/r*_binary64_16191`
7×	`div-exp_binary64_16298` `cbrt-undiv_binary64_16281`
5×	`pow1_binary64_16308`
3×	`add-log-exp_binary64_16286` `cbrt-unprod_binary64_16280` `prod-exp_binary64_16296` `unswap-sqr_binary64_16215` `associate-l_binary64_16188`
2×	`clear-num_binary64_16246` `frac-2neg_binary64_16258`
1×	`pow-prod-down_binary64_16318` `associate-/l/_binary64_16194` `-commutative_binary64_16178` `associate-r/_binary64_16189`

Counts

3 → 228

Calls

3 calls:

27.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
15.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
6.0ms	(/.f64 2 (-.f64 y t))

series341.0ms (5.3%)

Counts

3 → 9

Calls

3 calls:

170.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
118.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
52.0ms	(/.f64 2 (-.f64 y t))

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4957	4396
1	4957	4396

prune543.0ms (8.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	226	11	237
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	227	12	239

Merged error: 0b

Counts

239 → 12

Compiler

Compiled 10467 to 6668 computations (36.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
2.1b	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_16285`
14×	`add-cbrt-cube_binary64_16283`
12×	`add-sqr-sqrt_binary64_16269`
9×	`cbrt-unprod_binary64_16280` `prod-exp_binary64_16296` `cbrt-prod_binary64_16278` `*-un-lft-identity_binary64_16247` `add-cube-cbrt_binary64_16282`
6×	`pow1_binary64_16308`
5×	`associate-r_binary64_16187`
4×	`add-log-exp_binary64_16286` `div-exp_binary64_16298` `cbrt-undiv_binary64_16281`
3×	`pow1/3_binary64_16329` `associate-l_binary64_16188`
2×	`times-frac_binary64_16253` `unswap-sqr_binary64_16215`
1×	`pow-prod-down_binary64_16318` `-commutative_binary64_16178` `associate-r/_binary64_16189` `div-inv_binary64_16244`

Counts

4 → 63

Calls

4 calls:

25.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
3.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series951.0ms (14.8%)

Counts

4 → 12

Calls

4 calls:

495.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
158.0ms	(cbrt.f64 z)
148.0ms	(cbrt.f64 z)
148.0ms	(cbrt.f64 z)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4965	1172
1	4965	1172

prune119.0ms (1.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	75	12	87

Merged error: 0b

Counts

87 → 12

Compiler

Compiled 2755 to 1472 computations (46.6% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
2.1b	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-exp-log_binary64_16285`
31×	`add-cbrt-cube_binary64_16283`
24×	`cbrt-unprod_binary64_16280` `prod-exp_binary64_16296`
18×	`div-exp_binary64_16298` `cbrt-undiv_binary64_16281`
17×	`times-frac_binary64_16253` `associate-r_binary64_16187`
15×	`add-sqr-sqrt_binary64_16269`
12×	`cbrt-div_binary64_16279`
10×	`*-un-lft-identity_binary64_16247` `add-cube-cbrt_binary64_16282`
9×	`cbrt-prod_binary64_16278`
8×	`associate-/r/_binary64_16193`
6×	`flip3--_binary64_16251` `pow1_binary64_16308` `flip--_binary64_16222`
4×	`add-log-exp_binary64_16286` `frac-times_binary64_16257`
3×	`pow1/3_binary64_16329` `unswap-sqr_binary64_16215` `associate-r/_binary64_16189` `associate-l*_binary64_16188`
2×	`div-inv_binary64_16244` `associate-*l/_binary64_16190`
1×	`pow-prod-down_binary64_16318` `*-commutative_binary64_16178`

Counts

4 → 88

Calls

4 calls:

30.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)

series488.0ms (7.6%)

Counts

4 → 6

Calls

4 calls:

488.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5006	2083

prune165.0ms (2.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	94	12	106

Merged error: 0b

Counts

106 → 12

Compiler

Compiled 3975 to 1918 computations (51.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
4.4b	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) (cbrt.f64 z)))

rewrite124.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

396×	`times-frac_binary64_16253`
254×	`add-sqr-sqrt_binary64_16269` `*-un-lft-identity_binary64_16247`
220×	`associate-r_binary64_16187`
182×	`add-cube-cbrt_binary64_16282`
117×	`cbrt-prod_binary64_16278`
90×	`sqrt-prod_binary64_16263`
58×	`add-exp-log_binary64_16285`
44×	`add-cbrt-cube_binary64_16283`
36×	`difference-of-squares_binary64_16216` `distribute-lft-out--_binary64_16199`
24×	`cbrt-unprod_binary64_16280` `prod-exp_binary64_16296`
18×	`div-exp_binary64_16298` `cbrt-undiv_binary64_16281`
12×	`associate-/r/_binary64_16193`
9×	`pow1_binary64_16308`
7×	`div-inv_binary64_16244`
6×	`flip3--_binary64_16251` `flip--_binary64_16222`
4×	`add-log-exp_binary64_16286`
3×	`pow-prod-down_binary64_16318` `pow1/3_binary64_16329` `associate-*r/_binary64_16189`
1×	`frac-times_binary64_16257` `-commutative_binary64_16178` `associate-l_binary64_16188` `associate-l/_binary64_16190`

Counts

4 → 291

Calls

4 calls:

69.0ms	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series772.0ms (12%)

Counts

4 → 12

Calls

4 calls:

304.0ms	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) (cbrt.f64 z)))
158.0ms	(cbrt.f64 z)
155.0ms	(cbrt.f64 z)
155.0ms	(cbrt.f64 z)

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

303 → 303

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5558	8032

prune484.0ms (7.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	303	0	303
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	303	12	315

Merged error: 0b

Counts

315 → 12

Compiler

Compiled 8590 to 4614 computations (46.3% saved)

regimes189.0ms (2.9%)

Compiler: Compiled 1779 to 1401 computations (21.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	108
1	64	108

end0.0ms (0%)

sample843.0ms (13.1%)

Algorithm

1×

intervals

Results

283.0ms	8000×	body	128	valid
25.0ms	684×	body	128	invalid

Compiler

Compiled 385 to 271 computations (29.6% saved)

Details

analyze629.0ms (9.8%)

sample18.0ms (0.3%)

simplify241.0ms (3.7%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

rewrite75.0ms (1.2%)

series341.0ms (5.3%)

simplify85.0ms (1.3%)

prune543.0ms (8.4%)

localize15.0ms (0.2%)

rewrite38.0ms (0.6%)

series951.0ms (14.8%)

simplify59.0ms (0.9%)

prune119.0ms (1.9%)

localize19.0ms (0.3%)

rewrite51.0ms (0.8%)

series488.0ms (7.6%)

simplify64.0ms (1%)

prune165.0ms (2.6%)

localize13.0ms (0.2%)

rewrite124.0ms (1.9%)

series772.0ms (12%)

simplify95.0ms (1.5%)

prune484.0ms (7.5%)

regimes189.0ms (2.9%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample843.0ms (13.1%)

Profiling