Details

analyze253.0ms (5.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify166.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	212	10
1	212	10

prune2.0ms (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: 3.1b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.9b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_9534`
3×	`associate-r_binary64_9455` `add-cube-cbrt_binary64_9545` `add-exp-log_binary64_9548` `-un-lft-identity_binary64_9513` `associate-l*_binary64_9456` `add-cbrt-cube_binary64_9546` `pow1_binary64_9571`
2×	`sub-neg_binary64_9506` `associate-*r/_binary64_9457`
1×	`pow-prod-down_binary64_9581` `prod-exp_binary64_9559` `add-log-exp_binary64_9549` `unswap-sqr_binary64_9481` `flip3--_binary64_9517` `*-commutative_binary64_9446` `distribute-lft-in_binary64_9464` `distribute-rgt-in_binary64_9465` `flip--_binary64_9488` `cbrt-unprod_binary64_9543`

Counts

1 → 22

Calls

1 calls:

7.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

series92.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

92.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4916	302
1	4916	302

prune29.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 3.0b

Counts

26 → 8

Compiler

Compiled 393 to 223 computations (43.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
3.1b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.1b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.1b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_9542`
10×	`associate-*r/_binary64_9457`
9×	`add-exp-log_binary64_9548` `cbrt-prod_binary64_9541` `flip3--_binary64_9517` `flip--_binary64_9488` `pow1_binary64_9571` `add-sqr-sqrt_binary64_9534`
8×	`add-cube-cbrt_binary64_9545` `*-un-lft-identity_binary64_9513`
7×	`add-cbrt-cube_binary64_9546`
4×	`add-log-exp_binary64_9549` `frac-times_binary64_9523`
3×	`pow-prod-down_binary64_9581` `prod-exp_binary64_9559` `associate-l_binary64_9456` `pow1/3_binary64_9592` `cbrt-unprod_binary64_9543`
2×	`associate-*l/_binary64_9458`
1×	`associate-r_binary64_9455` `unswap-sqr_binary64_9481` `*-commutative_binary64_9446`

Counts

4 → 66

Calls

4 calls:

13.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series1.1s (23.2%)

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
297.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
296.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
229.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))))

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5289	1434

prune123.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	76	10	86

Merged error: 2.9b

Counts

86 → 10

Compiler

Compiled 2396 to 1372 computations (42.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z))))
3.1b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.1b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.1b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite39.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_9542`
32×	`associate-*l/_binary64_9458`
30×	`flip3--_binary64_9517` `flip--_binary64_9488`
28×	`frac-times_binary64_9523`
13×	`add-exp-log_binary64_9548` `pow1_binary64_9571`
12×	`cbrt-prod_binary64_9541`
9×	`add-cube-cbrt_binary64_9545` `*-un-lft-identity_binary64_9513` `add-sqr-sqrt_binary64_9534`
8×	`associate-*r/_binary64_9457`
7×	`add-cbrt-cube_binary64_9546`
6×	`pow-prod-down_binary64_9581` `associate-r_binary64_9455` `prod-exp_binary64_9559` `cbrt-unprod_binary64_9543`
4×	`add-log-exp_binary64_9549`
3×	`pow1/3_binary64_9592`
1×	`associate-l_binary64_9456` `*-commutative_binary64_9446`

Counts

4 → 89

Calls

4 calls:

17.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series955.0ms (19.7%)

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
289.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
286.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
89.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z))))

simplify139.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4924	2941
1	4924	2941

prune139.0ms (2.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	101	10	111

Merged error: 2.9b

Counts

111 → 10

Compiler

Compiled 3253 to 1705 computations (47.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.8b	(.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x))
2.4b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x)))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_9548` `pow1_binary64_9571`
13×	`add-sqr-sqrt_binary64_9534`
11×	`add-cbrt-cube_binary64_9546`
10×	`cbrt-prod_binary64_9541`
9×	`pow-prod-down_binary64_9581` `add-cube-cbrt_binary64_9545` `*-un-lft-identity_binary64_9513` `prod-exp_binary64_9559` `cbrt-unprod_binary64_9543`
7×	`associate-r_binary64_9455`
4×	`associate-l/_binary64_9458` `add-log-exp_binary64_9549` `associate-l*_binary64_9456`
2×	`unswap-sqr_binary64_9481` `flip3--_binary64_9517` `-commutative_binary64_9446` `flip--_binary64_9488` `associate-r/_binary64_9457` `pow1/3_binary64_9592`

Counts

4 → 70

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x)))
7.0ms	(.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series691.0ms (14.2%)

Counts

4 → 12

Calls

4 calls:

210.0ms	(.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x))
171.0ms	(cbrt.f64 x)
161.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 y z)) (cbrt.f64 x)))
149.0ms	(cbrt.f64 x)

simplify79.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4914	906
1	4914	906

prune62.0ms (1.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	82	10	92

Merged error: 2.9b

Counts

92 → 10

Compiler

Compiled 1335 to 541 computations (59.5% saved)

regimes123.0ms (2.5%)

Compiler: Compiled 1104 to 838 computations (24.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms (0%)

sample593.0ms (12.2%)

Algorithm

1×

intervals

Results

199.0ms	8000×	body	128	valid
20.0ms	548×	body	128	invalid

Compiler

Compiled 193 to 149 computations (22.8% saved)

Details

analyze253.0ms (5.2%)

sample16.0ms (0.3%)

simplify166.0ms (3.4%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite12.0ms (0.3%)

series92.0ms (1.9%)

simplify39.0ms (0.8%)

prune29.0ms (0.6%)

localize9.0ms (0.2%)

rewrite28.0ms (0.6%)

series1.1s (23.2%)

simplify84.0ms (1.7%)

prune123.0ms (2.5%)

localize9.0ms (0.2%)

rewrite39.0ms (0.8%)

series955.0ms (19.7%)

simplify139.0ms (2.9%)

prune139.0ms (2.9%)

localize9.0ms (0.2%)

rewrite28.0ms (0.6%)

series691.0ms (14.2%)

simplify79.0ms (1.6%)

prune62.0ms (1.3%)

regimes123.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample593.0ms (12.2%)

Profiling