Details

analyze787.0ms (15%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	28
1	37	28
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
68.3%	22.7%	9%	13
71%	20%	9%	14
71%	20%	9%	14

Symmetry

(sort x y)

Compiler

Compiled 12 to 12 computations (0% saved)

sample356.0ms (6.8%)

Algorithm

2×

intervals

Results

12.0ms	512×	body	128	valid
3.0ms	98×	body	128	invalid

Compiler

Compiled 1889 to 2831 computations (-49.9% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

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 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.2b	(/.f64 (*.f64 x y) z)

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
3×	`add-cube-cbrt_binary64_17845` `add-sqr-sqrt_binary64_17832` `times-frac_binary64_17816` `-un-lft-identity_binary64_17810` `associate-/r_binary64_17754`
2×	`div-exp_binary64_17861` `cbrt-undiv_binary64_17844`
1×	`pow1_binary64_17871` `prod-exp_binary64_17859` `add-log-exp_binary64_17849` `cbrt-unprod_binary64_17843` `frac-2neg_binary64_17821` `clear-num_binary64_17809` `div-inv_binary64_17807` `associate-/l*_binary64_17755`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/.f64 (*.f64 x y) z)

Compiler

Compiled 214 to 74 computations (65.4% saved)

series156.0ms (3%)

Error

6.4b

Counts

1 → 9

Calls

1 calls:

152.0ms

(/.f64 (*.f64 x y) z)

Compiler

Compiled 135 to 95 computations (29.6% saved)

simplify105.0ms (2%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4671	261
1	4671	261

prune32.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	23	7	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	8	31

Error

0.0b

Counts

31 → 8

Compiler

Compiled 288 to 101 computations (64.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
1.2b	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
4.7b	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite101.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-exp-log_binary64_17848`
19×	`add-cbrt-cube_binary64_17846`
17×	`add-sqr-sqrt_binary64_17832`
13×	`add-cube-cbrt_binary64_17845` `*-un-lft-identity_binary64_17810`
12×	`cbrt-prod_binary64_17841`
10×	`times-frac_binary64_17816`
8×	`prod-exp_binary64_17859` `div-exp_binary64_17861` `cbrt-unprod_binary64_17843` `cbrt-undiv_binary64_17844`
7×	`associate-r_binary64_17750`
6×	`pow1_binary64_17871` `associate-/r*_binary64_17754`
4×	`add-log-exp_binary64_17849`
3×	`associate-l_binary64_17751`
2×	`unswap-sqr_binary64_17778` `associate-*r/_binary64_17752` `div-inv_binary64_17807` `pow1/3_binary64_17892`
1×	`pow-prod-down_binary64_17881` `-commutative_binary64_17741` `frac-2neg_binary64_17821` `clear-num_binary64_17809` `associate-/l/_binary64_17757` `associate-/l_binary64_17755`

Counts

4 → 82

Calls

4 calls:

11.0ms	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
9.0ms	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1517 to 296 computations (80.5% saved)

series1.1s (20.4%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

636.0ms	(.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))))
189.0ms	(/.f64 (.f64 y (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
122.0ms	(cbrt.f64 z)
106.0ms	(cbrt.f64 z)

Compiler

Compiled 813 to 619 computations (23.9% saved)

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4959	1115
1	4959	1115

prune83.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	107	7	114

Error

0.0b

Counts

114 → 7

Compiler

Compiled 1394 to 484 computations (65.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.4b	(*.f64 y (/.f64 x z))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_17832`
13×	`associate-r_binary64_17750`
10×	`times-frac_binary64_17816`
9×	`add-cube-cbrt_binary64_17845` `*-un-lft-identity_binary64_17810`
6×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
3×	`pow1_binary64_17871` `associate-l_binary64_17751`
2×	`prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778`
1×	`pow-prod-down_binary64_17881` `div-exp_binary64_17861` `add-log-exp_binary64_17849` `cbrt-undiv_binary64_17844` `associate-r/_binary64_17752` `div-inv_binary64_17807` `-commutative_binary64_17741`

Counts

1 → 32

Calls

1 calls:

9.0ms

(*.f64 y (/.f64 x z))

Compiler

Compiled 373 to 120 computations (67.8% saved)

series139.0ms (2.6%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

133.0ms

(*.f64 y (/.f64 x z))

Compiler

Compiled 135 to 95 computations (29.6% saved)

simplify93.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5386	390

prune25.0ms (0.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	41	7	48

Error

0.0b

Counts

48 → 7

Compiler

Compiled 393 to 110 computations (72% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.6b	(/.f64 y (/.f64 z x))

rewrite64.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`times-frac_binary64_17816`
43×	`add-cube-cbrt_binary64_17845` `add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810`
13×	`associate-/r*_binary64_17754`
6×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
5×	`div-inv_binary64_17807`
3×	`div-exp_binary64_17861` `cbrt-undiv_binary64_17844` `associate-/l*_binary64_17755`
1×	`pow1_binary64_17871` `add-log-exp_binary64_17849` `frac-2neg_binary64_17821` `clear-num_binary64_17809` `associate-/r/_binary64_17756`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/.f64 y (/.f64 z x))

Compiler

Compiled 1011 to 286 computations (71.7% saved)

series127.0ms (2.4%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

124.0ms

(/.f64 y (/.f64 z x))

Compiler

Compiled 135 to 95 computations (29.6% saved)

simplify126.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4830	1244
1	4830	1244

prune51.0ms (1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	3	3
Picked	0	1	1
Done	1	2	3
Total	79	7	86

Error

Counts

86 → 7

Compiler

Compiled 947 to 196 computations (79.3% saved)

regimes419.0ms (8%)

Accuracy

Total 1.1b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 1499 to 1173 computations (21.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	71
1	27	71

Compiler

Compiled 98 to 46 computations (53.1% saved)

end0.0ms (0%)

sample1.3s (25.5%)

Algorithm

1×

intervals

Results

436.0ms	8000×	body	128	valid
36.0ms	1621×	body	128	invalid

Compiler

Compiled 332 to 245 computations (26.2% saved)

Details

analyze787.0ms (15%)

sample356.0ms (6.8%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite27.0ms (0.5%)

series156.0ms (3%)

simplify105.0ms (2%)

prune32.0ms (0.6%)

localize8.0ms (0.2%)

rewrite101.0ms (1.9%)

series1.1s (20.4%)

simplify70.0ms (1.3%)

prune83.0ms (1.6%)

localize4.0ms (0.1%)

rewrite31.0ms (0.6%)

series139.0ms (2.6%)

simplify93.0ms (1.8%)

prune25.0ms (0.5%)

localize4.0ms (0.1%)

rewrite64.0ms (1.2%)

series127.0ms (2.4%)

simplify126.0ms (2.4%)

prune51.0ms (1%)

regimes419.0ms (8%)

bsearch1.0ms (0%)

simplify11.0ms (0.2%)

end0.0ms (0%)

sample1.3s (25.5%)

Profiling