Details

analyze769.0ms (15%)

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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.1s (21.9%)

Results

937.0ms	8256×	body	128	valid
70.0ms	622×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify114.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1630×	`fma-neg_binary64`
896×	`div-sub_binary64`
582×	`times-frac_binary64`
579×	`fma-def_binary64`
367×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	34	13
3	74	13
4	145	13
5	245	13
6	572	13
7	1407	13
8	2937	13
9	2993	13
10	3292	13
11	3338	13
12	3355	13
13	3404	13
14	4948	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

10.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	10.7b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

Compiler

Compiled 39 to 24 computations (38.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	10.1b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

series34.0ms (0.7%)

Counts

2 → 84

Calls

2 calls:

28.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
6.0ms	(*.f64 x (-.f64 y z))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 81

Calls

2 calls:

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

simplify101.0ms (2%)

Algorithm

1×	egg-herbie

Rules

526×	`cancel-sign-sub-inv_binary64`
513×	`fma-neg_binary64`
365×	`div-sub_binary64`
202×	`associate-/l*_binary64`
196×	`sub-neg_binary64`

Counts

165 → 145

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	2954
1	576	2753
2	2576	2555
3	4147	2552
4	5042	2552

prune107.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	139	6	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	6	146

Error

0.0b

Counts

146 → 6

Alt Table

Status	Error	Program
	39.7b	(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 x (-.f64 y z)) (-.f64 t z)) (/.f64 (.f64 x (-.f64 y z)) (-.f64 t z))) (/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))))
	10.7b	(/.f64 (-.f64 (.f64 y x) (.f64 z x)) (-.f64 t z))
	11.0b	(/.f64 1 (/.f64 (-.f64 t z) (*.f64 x (-.f64 y z))))
▶	1.6b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	11.0b	(/.f64 (+.f64 (.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 z 1))) x) (.f64 (fma.f64 (neg.f64 z) 1 (*.f64 z 1)) x)) (-.f64 t z))
	1.7b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

Compiler

Compiled 3291 to 982 computations (70.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
✓	1.6b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

series45.0ms (0.9%)

Counts

2 → 84

Calls

2 calls:

27.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
18.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`

Counts

2 → 106

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
6.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

simplify101.0ms (2%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-def_binary64`
511×	`cancel-sign-sub-inv_binary64`
372×	`sub-neg_binary64`
220×	`fma-neg_binary64`
164×	`associate-/l*_binary64`

Counts

190 → 181

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	4489
1	786	4288
2	2972	4076
3	5031	4076

prune109.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	180	7	187

Error

Counts

187 → 7

Alt Table

Status	Error	Program
	30.9b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) (-.f64 t z))))
	10.7b	(/.f64 (-.f64 (.f64 y x) (.f64 z x)) (-.f64 t z))
	2.8b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 y z) (-.f64 t z))))
	11.0b	(/.f64 1 (/.f64 (-.f64 t z) (*.f64 x (-.f64 y z))))
✓	1.6b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	11.0b	(/.f64 (+.f64 (.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 z 1))) x) (.f64 (fma.f64 (neg.f64 z) 1 (*.f64 z 1)) x)) (-.f64 t z))
▶	1.7b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

Compiler

Compiled 4295 to 1288 computations (70% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
✓	1.6b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

series47.0ms (0.9%)

Counts

2 → 84

Calls

2 calls:

28.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
19.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

rewrite39.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64`
194×	`add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`distribute-lft-out--_binary64`

Counts

2 → 198

Calls

2 calls:

9.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
6.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

simplify163.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

562×	`cancel-sign-sub-inv_binary64`
374×	`sub-neg_binary64`
271×	`associate-/r/_binary64`
224×	`fma-neg_binary64`
198×	`associate-/l/_binary64`

Counts

282 → 300

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	7629
1	1057	7410
2	3983	7368
3	5298	7368

prune162.0ms (3.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	299	1	300
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	300	7	307

Error

Counts

307 → 7

Alt Table

Status	Error	Program
	30.9b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) (-.f64 t z))))
	10.7b	(/.f64 (-.f64 (.f64 y x) (.f64 z x)) (-.f64 t z))
	11.0b	(/.f64 (+.f64 (.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 z 1))) x) (.f64 (fma.f64 (neg.f64 z) 1 (*.f64 z 1)) x)) (-.f64 t z))
▶	2.0b	(/.f64 1 (/.f64 (/.f64 (-.f64 t z) (-.f64 y z)) x))
	2.8b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 y z) (-.f64 t z))))
✓	1.6b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
✓	1.7b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

Compiler

Compiled 7278 to 1729 computations (76.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
✓	0.5b	(/.f64 1 (/.f64 (/.f64 (-.f64 t z) (-.f64 y z)) x))
✓	1.5b	(/.f64 (/.f64 (-.f64 t z) (-.f64 y z)) x)

series58.0ms (1.1%)

Counts

2 → 96

Calls

2 calls:

31.0ms	(/.f64 (/.f64 (-.f64 t z) (-.f64 y z)) x)
27.0ms	(/.f64 1 (/.f64 (/.f64 (-.f64 t z) (-.f64 y z)) x))

rewrite136.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

1156×	`times-frac_binary64`
756×	`*-un-lft-identity_binary64`
756×	`add-sqr-sqrt_binary64`
436×	`add-cube-cbrt_binary64`
160×	`distribute-lft-out--_binary64`

Counts

2 → 563

Calls

2 calls:

18.0ms	(/.f64 1 (/.f64 (/.f64 (-.f64 t z) (-.f64 y z)) x))
12.0ms	(/.f64 (/.f64 (-.f64 t z) (-.f64 y z)) x)

simplify812.0ms (15.8%)

Algorithm

1×	egg-herbie

Rules

479×	`associate-/r/_binary64`
337×	`associate-/l/_binary64`
313×	`associate-/r*_binary64`
253×	`fma-neg_binary64`
220×	`times-frac_binary64`

Counts

659 → 683

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	552	21221
1	1391	19126
2	4727	19126
3	4996	19126
4	5000	19126
5	4982	19126

prune406.0ms (7.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	766	1	767
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	767	7	774

Error

Counts

774 → 7

Alt Table

Status	Error	Program
	25.2b	(/.f64 1 (/.f64 (neg.f64 (+.f64 (/.f64 t z) -1)) x))
✓	1.6b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	11.0b	(/.f64 (+.f64 (.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 z 1))) x) (.f64 (fma.f64 (neg.f64 z) 1 (*.f64 z 1)) x)) (-.f64 t z))
✓	2.0b	(/.f64 1 (/.f64 (/.f64 (-.f64 t z) (-.f64 y z)) x))
	10.7b	(/.f64 (-.f64 (.f64 y x) (.f64 z x)) (-.f64 t z))
	2.8b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 y z) (-.f64 t z))))
✓	1.7b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

Compiler

Compiled 21083 to 5472 computations (74% saved)

regimes602.0ms (11.7%)

Accuracy

Total 2.2b remaining (98.9%)

Threshold costs 0b (0%)

Counts

124 → 1

Compiler

Compiled 12440 to 7059 computations (43.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	15	19
2	24	19
3	28	19
4	30	19
5	30	19

end119.0ms (2.3%)

Compiler: Compiled 156 to 95 computations (39.1% saved)

Details

analyze769.0ms (15%)

sample1.1s (21.9%)

simplify114.0ms (2.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series34.0ms (0.7%)

rewrite20.0ms (0.4%)

simplify101.0ms (2%)

prune107.0ms (2.1%)

localize8.0ms (0.1%)

series45.0ms (0.9%)

rewrite27.0ms (0.5%)

simplify101.0ms (2%)

prune109.0ms (2.1%)

localize6.0ms (0.1%)

series47.0ms (0.9%)

rewrite39.0ms (0.8%)

simplify163.0ms (3.2%)

prune162.0ms (3.2%)

localize9.0ms (0.2%)

series58.0ms (1.1%)

rewrite136.0ms (2.7%)

simplify812.0ms (15.8%)

prune406.0ms (7.9%)

regimes602.0ms (11.7%)

simplify3.0ms (0.1%)

end119.0ms (2.3%)

Profiling