Details

analyze623.0ms (7.3%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample77.0ms (0.9%)

Algorithm

1×

intervals

Results

25.0ms	192×	body	128	valid
14.0ms	29×	body	512	valid
12.0ms	13×	body	1024	valid
6.0ms	22×	body	256	valid
2.0ms	12×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify231.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	657	20
1	657	20

prune5.0ms (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: 8.0b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
3.6b	(log.f64 (-.f64 1 y))

rewrite60.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_10330`
25×	`*-un-lft-identity_binary64_10308`
24×	`log-prod_binary64_10394`
14×	`add-cube-cbrt_binary64_10343`
11×	`pow1_binary64_10369`
9×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258` `add-log-exp_binary64_10347` `add-exp-log_binary64_10346`
8×	`associate-r_binary64_10248` `add-cbrt-cube_binary64_10344`
7×	`difference-of-squares_binary64_10277`
6×	`associate-l_binary64_10249`
4×	`distribute-lft-out--_binary64_10260`
3×	`log-pow_binary64_10397` `cancel-sign-sub-inv_binary64_10274`
2×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `flip--_binary64_10283` `flip3--_binary64_10312` `pow-prod-down_binary64_10379` `log-div_binary64_10395` `diff-log_binary64_10400` `*-commutative_binary64_10239` `unswap-sqr_binary64_10276`
1×	`sum-log_binary64_10399` `rem-log-exp_binary64_10349` `sub-neg_binary64_10301` `associate--l+_binary64_10245`

Counts

4 → 91

Calls

4 calls:

15.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
14.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
10.0ms	(*.f64 x (log.f64 y))
8.0ms	(log.f64 (-.f64 1 y))

series298.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
81.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
52.0ms	(*.f64 x (log.f64 y))
25.0ms	(log.f64 (-.f64 1 y))

simplify141.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5082	1527

prune227.0ms (2.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	97	6	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

Compiler

Compiled 2047 to 1099 computations (46.3% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x (log.f64 y)) (+.f64 t (.f64 y z)))
0.3b	(*.f64 x (log.f64 y))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64_10394`
11×	`add-sqr-sqrt_binary64_10330`
9×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
7×	`add-log-exp_binary64_10347`
6×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258` `associate--l+_binary64_10245`
5×	`pow1_binary64_10369`
4×	`associate-r_binary64_10248` `add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
3×	`associate-l_binary64_10249` `cancel-sign-sub-inv_binary64_10274`
2×	`diff-log_binary64_10400`
1×	`cbrt-unprod_binary64_10341` `sum-log_binary64_10399` `prod-exp_binary64_10357` `flip--_binary64_10283` `sub-neg_binary64_10301` `log-pow_binary64_10397` `flip3--_binary64_10312` `pow-prod-down_binary64_10379` `associate--r+_binary64_10244` `*-commutative_binary64_10239` `unswap-sqr_binary64_10276`

Counts

2 → 47

Calls

2 calls:

12.0ms	(-.f64 (.f64 x (log.f64 y)) (+.f64 t (.f64 y z)))
8.0ms	(*.f64 x (log.f64 y))

series149.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

97.0ms	(-.f64 (.f64 x (log.f64 y)) (+.f64 t (.f64 y z)))
52.0ms	(*.f64 x (log.f64 y))

simplify104.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5072	715

prune87.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	53	6	59

Merged error: 0.0b

Counts

59 → 6

Compiler

Compiled 922 to 248 computations (73.1% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_10339`
23×	`add-sqr-sqrt_binary64_10330`
15×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
11×	`pow1_binary64_10369`
9×	`pow1/3_binary64_10390`
6×	`swap-sqr_binary64_10275` `associate-r_binary64_10248` `associate-l_binary64_10249` `add-exp-log_binary64_10346`
4×	`add-log-exp_binary64_10347` `add-cbrt-cube_binary64_10344` `unswap-sqr_binary64_10276`
2×	`pow-sqr_binary64_10281` `pow-prod-down_binary64_10379` `pow-prod-up_binary64_10378`
1×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `pow-plus_binary64_10371` `*-commutative_binary64_10239` `pow2_binary64_10389`

Counts

4 → 73

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series581.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

175.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
137.0ms	(cbrt.f64 y)
136.0ms	(cbrt.f64 y)
133.0ms	(cbrt.f64 y)

simplify107.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune142.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

Compiler

Compiled 2041 to 556 computations (72.8% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (log.f64 (pow.f64 y 2/3)) x)
0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.7b	(cbrt.f64 y)
6.1b	(pow.f64 y 2/3)

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_10330`
15×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
12×	`log-prod_binary64_10394`
10×	`pow1_binary64_10369`
9×	`cbrt-prod_binary64_10339` `add-exp-log_binary64_10346`
8×	`associate-r_binary64_10248` `add-cbrt-cube_binary64_10344`
7×	`associate-l_binary64_10249`
6×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258`
4×	`add-log-exp_binary64_10347`
3×	`log-pow_binary64_10397` `pow-unpow_binary64_10385` `unpow-prod-down_binary64_10387`
2×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `pow1/3_binary64_10390` `pow-prod-down_binary64_10379` `*-commutative_binary64_10239` `unswap-sqr_binary64_10276`
1×	`pow-pow_binary64_10380` `sqr-pow_binary64_10280` `pow-to-exp_binary64_10377` `pow-exp_binary64_10376`

Counts

4 → 79

Calls

4 calls:

9.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
7.0ms	(*.f64 (log.f64 (pow.f64 y 2/3)) x)
4.0ms	(pow.f64 y 2/3)
2.0ms	(cbrt.f64 y)

series519.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt.f64 y)
137.0ms	(*.f64 (log.f64 (pow.f64 y 2/3)) x)
130.0ms	(pow.f64 y 2/3)
112.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify167.0ms (2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	5164	861

prune149.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	90	6	96

Merged error: 0.0b

Counts

96 → 6

Compiler

Compiled 1977 to 715 computations (63.8% saved)

regimes756.0ms (8.8%)

Compiler: Compiled 4412 to 3408 computations (22.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	58	30
1	58	30

end0.0ms (0%)

sample3.9s (45.9%)

Algorithm

1×

intervals

Results

780.0ms	5870×	body	128	valid
573.0ms	631×	body	1024	valid
416.0ms	844×	body	512	valid
180.0ms	639×	body	256	valid
32.0ms	240×	body	128	nan
21.0ms	16×	body	2048	valid
5.0ms	37×	body	128	invalid

Compiler

Compiled 791 to 612 computations (22.6% saved)

Details

analyze623.0ms (7.3%)

sample77.0ms (0.9%)

simplify231.0ms (2.7%)

prune5.0ms (0.1%)

localize22.0ms (0.3%)

rewrite60.0ms (0.7%)

series298.0ms (3.5%)

simplify141.0ms (1.6%)

prune227.0ms (2.7%)

localize18.0ms (0.2%)

rewrite27.0ms (0.3%)

series149.0ms (1.7%)

simplify104.0ms (1.2%)

prune87.0ms (1%)

localize33.0ms (0.4%)

rewrite27.0ms (0.3%)

series581.0ms (6.8%)

simplify107.0ms (1.3%)

prune142.0ms (1.7%)

localize34.0ms (0.4%)

rewrite34.0ms (0.4%)

series519.0ms (6.1%)

simplify167.0ms (2%)

prune149.0ms (1.7%)

regimes756.0ms (8.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.9s (45.9%)

Profiling