Details

analyze184.0ms (5%)

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	11×	body	128	invalid
0.0ms	4×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify449.0ms (12.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (350.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

prune3.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.1b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_9285`
8×	`add-sqr-sqrt_binary64_9307` `pow1_binary64_9346` `distribute-lft-out_binary64_9236`
7×	`associate-r_binary64_9225`
6×	`add-cube-cbrt_binary64_9320`
5×	`add-log-exp_binary64_9324`
4×	`associate-+l+_binary64_9218` `log-pow_binary64_9374` `add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323` `distribute-lft-out--_binary64_9237`
3×	`log-prod_binary64_9371` `associate-+r+_binary64_9217` `cancel-sign-sub-inv_binary64_9251` `associate-l_binary64_9226`
2×	`flip-+_binary64_9259` `associate-*r/_binary64_9227` `sum-log_binary64_9376` `flip3-+_binary64_9288`
1×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `distribute-lft-in_binary64_9234` `sub-neg_binary64_9278` `distribute-rgt-in_binary64_9235` `pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `associate-+l-_binary64_9220` `*-commutative_binary64_9216` `diff-log_binary64_9377` `+-commutative_binary64_9215`

Counts

2 → 50

Calls

2 calls:

11.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

series92.0ms (2.5%)

Counts

2 → 9

Calls

2 calls:

82.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4995	714
1	4995	714

prune62.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	4	60

Merged error: 0b

Counts

60 → 4

Compiler

Compiled 1015 to 629 computations (38% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
0.2b	(*.f64 y (log.f64 z))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64_9371` `add-sqr-sqrt_binary64_9307`
10×	`*-un-lft-identity_binary64_9285` `distribute-lft-in_binary64_9234` `distribute-rgt-in_binary64_9235` `add-cube-cbrt_binary64_9320`
8×	`associate-+l+_binary64_9218`
6×	`associate-+r+_binary64_9217` `cancel-sign-sub-inv_binary64_9251`
5×	`pow1_binary64_9346`
4×	`associate-r_binary64_9225` `add-cbrt-cube_binary64_9321` `add-log-exp_binary64_9324` `add-exp-log_binary64_9323`
3×	`associate-l_binary64_9226`
2×	`sub-neg_binary64_9278`
1×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `pow-prod-down_binary64_9356` `log-pow_binary64_9374` `unswap-sqr_binary64_9253` `flip-+_binary64_9259` `*-commutative_binary64_9216` `distribute-lft-out_binary64_9236` `sum-log_binary64_9376` `flip3-+_binary64_9288` `+-commutative_binary64_9215`

Counts

2 → 51

Calls

2 calls:

9.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
5.0ms	(*.f64 y (log.f64 z))

series195.0ms (5.3%)

Counts

2 → 12

Calls

2 calls:

111.0ms	(*.f64 y (log.f64 z))
84.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5074	741

prune58.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	63	4	67

Merged error: 0b

Counts

67 → 4

Compiler

Compiled 1126 to 599 computations (46.8% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 y (log.f64 (cbrt.f64 z)))
0.3b	(+.f64 (.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2)) (*.f64 y (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_9371`
18×	`add-sqr-sqrt_binary64_9307` `cbrt-prod_binary64_9316`
16×	`*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
12×	`associate-+r+_binary64_9217` `distribute-lft-in_binary64_9234` `distribute-rgt-in_binary64_9235`
7×	`pow1_binary64_9346`
6×	`add-cbrt-cube_binary64_9321` `add-log-exp_binary64_9324` `add-exp-log_binary64_9323`
5×	`associate-r_binary64_9225`
3×	`associate-l_binary64_9226` `pow1/3_binary64_9367`
2×	`log-pow_binary64_9374`
1×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `flip-+_binary64_9259` `*-commutative_binary64_9216` `distribute-lft-out_binary64_9236` `sum-log_binary64_9376` `flip3-+_binary64_9288` `+-commutative_binary64_9215`

Counts

4 → 78

Calls

4 calls:

8.0ms	(*.f64 y (log.f64 (cbrt.f64 z)))
8.0ms	(+.f64 (.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2)) (*.f64 y (log.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series824.0ms (22.2%)

Counts

4 → 18

Calls

4 calls:

334.0ms	(+.f64 (.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2)) (*.f64 y (log.f64 (cbrt.f64 z))))
312.0ms	(*.f64 y (log.f64 (cbrt.f64 z)))
91.0ms	(cbrt.f64 z)
87.0ms	(cbrt.f64 z)

simplify47.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5130	1030

prune110.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	96	4	100

Merged error: 0b

Counts

100 → 4

Compiler

Compiled 2471 to 1259 computations (49% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.1b	(.f64 (sqrt.f64 y) (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)))
0.2b	(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64_9285`
14×	`add-sqr-sqrt_binary64_9307` `pow1_binary64_9346`
13×	`associate-l_binary64_9226`
10×	`add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323` `add-cube-cbrt_binary64_9320`
8×	`distribute-lft-out_binary64_9236`
7×	`sqrt-prod_binary64_9301` `associate-r_binary64_9225`
6×	`add-log-exp_binary64_9324`
4×	`cbrt-unprod_binary64_9318` `associate-*l/_binary64_9228` `prod-exp_binary64_9334` `associate-+l+_binary64_9218` `pow-prod-down_binary64_9356` `log-pow_binary64_9374` `distribute-lft-out--_binary64_9237`
3×	`log-prod_binary64_9371` `associate-+r+_binary64_9217` `cancel-sign-sub-inv_binary64_9251` `flip-+_binary64_9259` `flip3-+_binary64_9288`
2×	`unswap-sqr_binary64_9253` `associate-r/_binary64_9227` `-commutative_binary64_9216` `sum-log_binary64_9376`
1×	`sub-neg_binary64_9278` `associate-+l-_binary64_9220` `diff-log_binary64_9377` `+-commutative_binary64_9215`

Counts

3 → 75

Calls

3 calls:

14.0ms	(.f64 (sqrt.f64 y) (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)))
12.0ms	(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

series124.0ms (3.3%)

Counts

3 → 15

Calls

3 calls:

69.0ms	(.f64 (sqrt.f64 y) (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)))
45.0ms	(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4994	1495
1	4994	1495

prune90.0ms (2.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	90	4	94

Merged error: 0b

Counts

94 → 4

Compiler

Compiled 1873 to 1039 computations (44.5% saved)

regimes189.0ms (5.1%)

Compiler: Compiled 1807 to 1424 computations (21.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample900.0ms (24.3%)

Algorithm

1×

intervals

Results

391.0ms	8000×	body	128	valid
14.0ms	299×	body	128	invalid
3.0ms	68×	body	128	nan

Compiler

Compiled 286 to 228 computations (20.3% saved)

Details

analyze184.0ms (5%)

sample22.0ms (0.6%)

simplify449.0ms (12.1%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite24.0ms (0.6%)

series92.0ms (2.5%)

simplify72.0ms (2%)

prune62.0ms (1.7%)

localize11.0ms (0.3%)

rewrite19.0ms (0.5%)

series195.0ms (5.3%)

simplify64.0ms (1.7%)

prune58.0ms (1.6%)

localize16.0ms (0.4%)

rewrite26.0ms (0.7%)

series824.0ms (22.2%)

simplify47.0ms (1.3%)

prune110.0ms (3%)

localize12.0ms (0.3%)

rewrite42.0ms (1.1%)

series124.0ms (3.3%)

simplify62.0ms (1.7%)

prune90.0ms (2.4%)

regimes189.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample900.0ms (24.3%)

Profiling