Details

analyze357.0ms (11.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	40
1	361	40
0	3	3
1	3	3

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)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	20×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify18.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	241	10
1	241	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

Error

2.8b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.7b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_8625`
3×	`add-cube-cbrt_binary64_8638` `add-exp-log_binary64_8641` `associate-l_binary64_8544` `-un-lft-identity_binary64_8603` `add-cbrt-cube_binary64_8639` `associate-r*_binary64_8543` `pow1_binary64_8664`
2×	`distribute-lft-in_binary64_8552` `distribute-rgt-in_binary64_8553` `associate-*r/_binary64_8545` `cancel-sign-sub-inv_binary64_8569` `sub-neg_binary64_8596`
1×	`add-log-exp_binary64_8642` `flip3--_binary64_8607` `cbrt-unprod_binary64_8636` `*-commutative_binary64_8534` `prod-exp_binary64_8652` `flip--_binary64_8578` `pow-prod-down_binary64_8674` `unswap-sqr_binary64_8571`

Counts

1 → 24

Calls

1 calls:

6.0ms

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

series48.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify60.0ms (2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4868	322
1	4868	322

prune30.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Error

2.7b

Counts

28 → 7

Compiler

Compiled 398 to 216 computations (45.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_8625`
10×	`add-cube-cbrt_binary64_8638` `add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
9×	`associate-l_binary64_8544` `associate-r_binary64_8543`
8×	`associate-*r/_binary64_8545`
6×	`distribute-lft-in_binary64_8552` `distribute-rgt-in_binary64_8553` `cancel-sign-sub-inv_binary64_8569` `sub-neg_binary64_8596`
4×	`add-log-exp_binary64_8642` `flip3--_binary64_8607` `flip--_binary64_8578`
3×	`cbrt-unprod_binary64_8636` `*-commutative_binary64_8534` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674` `unswap-sqr_binary64_8571`
2×	`cbrt-div_binary64_8635`
1×	`pow1/3_binary64_8685` `cbrt-prod_binary64_8634`

Counts

4 → 83

Calls

4 calls:

6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))

series260.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
47.0ms	(.f64 x (-.f64 1 (.f64 y z)))
46.0ms	(.f64 x (-.f64 1 (.f64 y z)))
43.0ms	(.f64 x (-.f64 1 (.f64 y z)))

simplify65.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5102	1159

prune131.0ms (4.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	91	4	95
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	92	10	102

Error

2.7b

Counts

102 → 10

Compiler

Compiled 3098 to 1685 computations (45.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.8b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_8625`
10×	`add-cube-cbrt_binary64_8638` `*-un-lft-identity_binary64_8603`
8×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
6×	`cbrt-prod_binary64_8634` `associate-l_binary64_8544` `associate-r_binary64_8543`
4×	`add-log-exp_binary64_8642` `distribute-lft-in_binary64_8552` `distribute-rgt-in_binary64_8553` `associate-*r/_binary64_8545` `cancel-sign-sub-inv_binary64_8569` `sub-neg_binary64_8596`
3×	`flip3--_binary64_8607` `flip--_binary64_8578`
2×	`pow1/3_binary64_8685` `cbrt-unprod_binary64_8636` `cbrt-div_binary64_8635` `*-commutative_binary64_8534` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674` `unswap-sqr_binary64_8571`

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
1.0ms	(cbrt.f64 x)

series313.0ms (10.3%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
75.0ms	(cbrt.f64 x)
44.0ms	(.f64 x (-.f64 1 (.f64 y z)))
43.0ms	(.f64 x (-.f64 1 (.f64 y z)))

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5153	1005

prune120.0ms (3.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	84	10	94

Error

2.7b

Counts

94 → 10

Compiler

Compiled 2855 to 1524 computations (46.6% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite38.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_8625`
12×	`add-cube-cbrt_binary64_8638` `add-exp-log_binary64_8641` `associate-l_binary64_8544` `-un-lft-identity_binary64_8603` `add-cbrt-cube_binary64_8639` `associate-r*_binary64_8543` `pow1_binary64_8664`
8×	`distribute-lft-in_binary64_8552` `distribute-rgt-in_binary64_8553` `associate-*r/_binary64_8545` `cancel-sign-sub-inv_binary64_8569` `sub-neg_binary64_8596`
4×	`add-log-exp_binary64_8642` `flip3--_binary64_8607` `cbrt-unprod_binary64_8636` `*-commutative_binary64_8534` `prod-exp_binary64_8652` `flip--_binary64_8578` `pow-prod-down_binary64_8674` `unswap-sqr_binary64_8571`

Counts

4 → 96

Calls

4 calls:

6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))

series178.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(.f64 x (-.f64 1 (.f64 y z)))
46.0ms	(.f64 x (-.f64 1 (.f64 y z)))
44.0ms	(.f64 x (-.f64 1 (.f64 y z)))
41.0ms	(.f64 x (-.f64 1 (.f64 y z)))

simplify67.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4868	1288
1	4868	1288

prune238.0ms (7.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	108	10	118

Error

2.7b

Counts

118 → 10

Compiler

Compiled 5568 to 3123 computations (43.9% saved)

regimes182.0ms (6%)

Accuracy

Total 0.1b remaining (4.6%)

Threshold costs 0.1b (4.6%)

Compiler

Compiled 2166 to 1540 computations (28.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample730.0ms (24.1%)

Algorithm

1×

intervals

Results

200.0ms	8000×	body	128	valid
16.0ms	524×	body	128	invalid

Compiler

Compiled 370 to 266 computations (28.1% saved)

Details

analyze357.0ms (11.8%)

sample18.0ms (0.6%)

simplify18.0ms (0.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite7.0ms (0.2%)

series48.0ms (1.6%)

simplify60.0ms (2%)

prune30.0ms (1%)

localize9.0ms (0.3%)

rewrite29.0ms (1%)

series260.0ms (8.6%)

simplify65.0ms (2.1%)

prune131.0ms (4.3%)

localize13.0ms (0.4%)

rewrite22.0ms (0.7%)

series313.0ms (10.3%)

simplify71.0ms (2.3%)

prune120.0ms (3.9%)

localize15.0ms (0.5%)

rewrite38.0ms (1.2%)

series178.0ms (5.9%)

simplify67.0ms (2.2%)

prune238.0ms (7.9%)

regimes182.0ms (6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample730.0ms (24.1%)

Profiling