Details

analyze1.0s (15.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample77.0ms (1.2%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	80	valid
19.0ms	271×	body	80	nan
3.0ms	33×	body	80	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

prune9.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `log-prod_binary64`
14×	`add-cube-cbrt_binary64`
11×	`add-log-exp_binary64`
10×	`pow1_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-+l+_binary64`
4×	`sum-log_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 85

Calls

4 calls:

10.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
7.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
6.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
5.0ms	(*.f64 x (log.f64 y))

series40.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
10.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
10.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
8.0ms	(*.f64 x (log.f64 y))

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4944	1209
1	4944	1209

prune108.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

Compiler

Compiled 2740 to 1054 computations (61.5% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series71.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt.f64 y)
18.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
17.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4942	588
1	4942	588

prune97.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

Compiler

Compiled 3058 to 1208 computations (60.5% saved)

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (pow.f64 y 2/3)))
0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.6b	(cbrt.f64 y)
6.1b	(pow.f64 y 2/3)

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`log-prod_binary64`
23×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64` `add-exp-log_binary64` `unpow-prod-down_binary64` `cbrt-prod_binary64`
8×	`add-cbrt-cube_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `log-pow_binary64` `sqr-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `pow-exp_binary64`

Counts

4 → 93

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (pow.f64 y 2/3)))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
2.0ms	(pow.f64 y 2/3)
1.0ms	(cbrt.f64 y)

series66.0ms (1%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
16.0ms	(*.f64 x (log.f64 (pow.f64 y 2/3)))
16.0ms	(cbrt.f64 y)
14.0ms	(pow.f64 y 2/3)

simplify149.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4849	1075
1	4849	1075

prune111.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	105	6	111

Merged error: 0.0b

Counts

111 → 6

Compiler

Compiled 3615 to 1659 computations (54.1% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
0.3b	(*.f64 x (log.f64 y))
0.5b	(cbrt.f64 c)
0.5b	(cbrt.f64 c)

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-+r+_binary64` `cbrt-prod_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-*l/_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `frac-add_binary64` `flip--_binary64`
3×	`associate-l_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

13.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
5.0ms	(*.f64 x (log.f64 y))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series76.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
15.0ms	(cbrt.f64 c)
15.0ms	(cbrt.f64 c)
7.0ms	(*.f64 x (log.f64 y))

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5030	1115

prune77.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

Compiler

Compiled 3071 to 1259 computations (59% saved)

regimes888.0ms (13.6%)

Compiler: Compiled 2062 to 1917 computations (7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	45
1	47	45

end0.0ms (0%)

sample3.2s (49.6%)

Algorithm

1×

intervals

Results

684.0ms	9822×	body	80	nan
641.0ms	7995×	body	80	valid
96.0ms	1194×	body	80	invalid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

Compiler

Compiled 235 to 212 computations (9.8% saved)

Details

analyze1.0s (15.9%)

sample77.0ms (1.2%)

simplify79.0ms (1.2%)

prune9.0ms (0.1%)

localize18.0ms (0.3%)

rewrite31.0ms (0.5%)

series40.0ms (0.6%)

simplify85.0ms (1.3%)

prune108.0ms (1.7%)

localize24.0ms (0.4%)

rewrite19.0ms (0.3%)

series71.0ms (1.1%)

simplify81.0ms (1.2%)

prune97.0ms (1.5%)

localize34.0ms (0.5%)

rewrite18.0ms (0.3%)

series66.0ms (1%)

simplify149.0ms (2.3%)

prune111.0ms (1.7%)

localize25.0ms (0.4%)

rewrite23.0ms (0.4%)

series76.0ms (1.2%)

simplify49.0ms (0.7%)

prune77.0ms (1.2%)

regimes888.0ms (13.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.2s (49.6%)

Profiling