Details

analyze351.0ms (7.2%)

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
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
49.9%	49.9%	0.2%	8
74.9%	25%	0.2%	9
74.9%	25%	0.2%	10
74.9%	25%	0.2%	11
74.9%	25%	0.2%	12
87.3%	12.5%	0.2%	13
87.3%	12.5%	0.2%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.5s (31.6%)

Results

1.4s

8256×

body

128

valid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify211.0ms (4.3%)

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

10.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	10.4b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

Compiler

Compiled 39 to 24 computations (38.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	10.4b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

series69.0ms (1.4%)

Counts

2 → 84

Calls

2 calls:

60.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
8.0ms	(*.f64 x (-.f64 y z))

rewrite31.0ms (0.6%)

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:

13.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
12.0ms	(*.f64 x (-.f64 y z))

simplify201.0ms (4.1%)

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

prune159.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	4	146

Error

Counts

146 → 4

Alt Table

Status	Error	Program
✓	10.4b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
	1.1b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
▶	1.0b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	30.6b	(+.f64 x (*.f64 (/.f64 x z) (-.f64 t y)))

Compiler

Compiled 3138 to 906 computations (71.1% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
✓	1.0b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

series114.0ms (2.3%)

Counts

2 → 84

Calls

2 calls:

79.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
34.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

rewrite71.0ms (1.5%)

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:

38.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
18.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

simplify218.0ms (4.5%)

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

prune164.0ms (3.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	181	4	185

Error

Counts

185 → 4

Alt Table

Status	Error	Program
✓	10.4b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
▶	1.1b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
✓	1.0b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	30.6b	(+.f64 x (*.f64 (/.f64 x z) (-.f64 t y)))

Compiler

Compiled 4136 to 1192 computations (71.2% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
✓	1.1b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

series109.0ms (2.2%)

Counts

2 → 84

Calls

2 calls:

67.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
41.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

rewrite77.0ms (1.6%)

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:

16.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
13.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

simplify342.0ms (7%)

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

prune216.0ms (4.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	300	0	300
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	300	4	304

Error

Counts

304 → 4

Alt Table

Status	Error	Program
✓	10.4b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
✓	1.1b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
✓	1.0b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
▶	30.6b	(+.f64 x (*.f64 (/.f64 x z) (-.f64 t y)))

Compiler

Compiled 7119 to 1633 computations (77.1% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 (/.f64 x z) (-.f64 t y)))
✓	6.6b	(*.f64 (/.f64 x z) (-.f64 t y))

series91.0ms (1.9%)

Counts

2 → 96

Calls

2 calls:

56.0ms	(+.f64 x (*.f64 (/.f64 x z) (-.f64 t y)))
36.0ms	(*.f64 (/.f64 x z) (-.f64 t y))

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
39×	`add-cube-cbrt_binary64`
36×	`prod-diff_binary64`
26×	`associate-+r+_binary64`

Counts

2 → 108

Calls

2 calls:

13.0ms	(*.f64 (/.f64 x z) (-.f64 t y))
8.0ms	(+.f64 x (*.f64 (/.f64 x z) (-.f64 t y)))

simplify184.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
510×	`distribute-rgt-in_binary64`
485×	`distribute-lft-in_binary64`
291×	`fma-neg_binary64`
165×	`exp-prod_binary64`

Counts

204 → 175

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	2889
1	473	2781
2	1553	2462
3	4774	2462
4	5010	2462

prune174.0ms (3.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	175	4	179

Error

Counts

179 → 4

Alt Table

Status	Error	Program
✓	10.4b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
✓	1.1b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
✓	1.0b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
✓	30.6b	(+.f64 x (*.f64 (/.f64 x z) (-.f64 t y)))

Compiler

Compiled 3527 to 787 computations (77.7% saved)

regimes356.0ms (7.3%)

Accuracy

Total 1.9b remaining (98.6%)

Threshold costs 0b (0%)

Counts

42 → 1

Compiler

Compiled 2896 to 1763 computations (39.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	19	13
3	21	13
4	22	13
5	22	13

end103.0ms (2.1%)

Compiler: Compiled 78 to 48 computations (38.5% saved)

Details

analyze351.0ms (7.2%)

sample1.5s (31.6%)

simplify211.0ms (4.3%)

prune2.0ms (0%)

localize8.0ms (0.2%)

series69.0ms (1.4%)

rewrite31.0ms (0.6%)

simplify201.0ms (4.1%)

prune159.0ms (3.3%)

localize13.0ms (0.3%)

series114.0ms (2.3%)

rewrite71.0ms (1.5%)

simplify218.0ms (4.5%)

prune164.0ms (3.4%)

localize12.0ms (0.3%)

series109.0ms (2.2%)

rewrite77.0ms (1.6%)

simplify342.0ms (7%)

prune216.0ms (4.4%)

localize13.0ms (0.3%)

series91.0ms (1.9%)

rewrite38.0ms (0.8%)

simplify184.0ms (3.8%)

prune174.0ms (3.6%)

regimes356.0ms (7.3%)

simplify3.0ms (0.1%)

end103.0ms (2.1%)

Profiling