Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample29.0ms (1.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
10.0ms	256×	pre	128	true

Compiler

Compiled 31 to 31 computations (0% saved)

simplify163.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_1455`
5×	`associate-r_binary64_1395` `add-sqr-sqrt_binary64_1477`
3×	`distribute-lft-out_binary64_1406` `pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-cube-cbrt_binary64_1490` `associate-l_binary64_1396` `add-exp-log_binary64_1493`
2×	`associate-*r/_binary64_1397`
1×	`prod-exp_binary64_1504` `distribute-rgt-in_binary64_1405` `flip-+_binary64_1429` `add-log-exp_binary64_1494` `*-commutative_binary64_1386` `distribute-lft-in_binary64_1404` `cbrt-unprod_binary64_1488` `flip3-+_binary64_1458` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`

Counts

1 → 24

Calls

1 calls:

11.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

series59.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

59.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

simplify76.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5242	312

prune47.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

Compiler

Compiled 811 to 369 computations (54.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
0.0b	(*.f64 a (+.f64 b c))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1477` `*-un-lft-identity_binary64_1455`
4×	`associate-r_binary64_1395` `pow1_binary64_1516` `add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `add-cube-cbrt_binary64_1490` `add-exp-log_binary64_1493`
3×	`associate-l_binary64_1396`
2×	`distribute-lft-out_binary64_1406` `associate-*r/_binary64_1397` `distribute-rgt-in_binary64_1405` `flip-+_binary64_1429` `associate-+l+_binary64_1388` `distribute-lft-in_binary64_1404` `flip3-+_binary64_1458`
1×	`prod-exp_binary64_1504` `*-commutative_binary64_1386` `cbrt-unprod_binary64_1488` `sum-log_binary64_1546` `+-commutative_binary64_1385` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`

Counts

2 → 37

Calls

2 calls:

7.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
7.0ms	(*.f64 a (+.f64 b c))

series116.0ms (5.2%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
52.0ms	(*.f64 a (+.f64 b c))

simplify69.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5010	471

prune33.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	44	3	47

Merged error: 0.0b

Counts

47 → 3

Compiler

Compiled 665 to 224 computations (66.3% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 a b) (.f64 a c)) (*.f64 a d))
0.1b	(+.f64 (.f64 a b) (.f64 a c))

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_1494`
4×	`sum-log_binary64_1546`
3×	`distribute-lft-out_binary64_1406`
2×	`add-sqr-sqrt_binary64_1477` `flip-+_binary64_1429` `pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-cube-cbrt_binary64_1490` `flip3-+_binary64_1458` `+-commutative_binary64_1385` `*-un-lft-identity_binary64_1455` `add-exp-log_binary64_1493`
1×	`associate-+l+_binary64_1388`

Counts

2 → 26

Calls

2 calls:

8.0ms	(+.f64 (+.f64 (.f64 a b) (.f64 a c)) (*.f64 a d))
4.0ms	(+.f64 (.f64 a b) (.f64 a c))

series127.0ms (5.7%)

Counts

2 → 6

Calls

2 calls:

68.0ms	(+.f64 (+.f64 (.f64 a b) (.f64 a c)) (*.f64 a d))
59.0ms	(+.f64 (.f64 a b) (.f64 a c))

simplify53.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5135	407

prune19.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

Compiler

Compiled 435 to 111 computations (74.5% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
0.3b	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

rewrite29.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_1455`
11×	`add-sqr-sqrt_binary64_1477` `associate-l_binary64_1396`
9×	`pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
7×	`associate-r_binary64_1395` `sqrt-prod_binary64_1471` `add-cube-cbrt_binary64_1490`
4×	`prod-exp_binary64_1504` `cbrt-unprod_binary64_1488` `associate-*l/_binary64_1398` `pow-prod-down_binary64_1526`
3×	`distribute-lft-out_binary64_1406`
2×	`associate-r/_binary64_1397` `flip-+_binary64_1429` `add-log-exp_binary64_1494` `-commutative_binary64_1386` `flip3-+_binary64_1458` `unswap-sqr_binary64_1423`

Counts

2 → 49

Calls

2 calls:

14.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
11.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))

series244.0ms (10.9%)

Counts

2 → 6

Calls

2 calls:

136.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
108.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

simplify73.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5487	760

prune51.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	53	5	58

Merged error: 0.0b

Counts

58 → 5

Compiler

Compiled 1096 to 356 computations (67.5% saved)

regimes112.0ms (5%)

Compiler: Compiled 608 to 522 computations (14.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

end0.0ms (0%)

sample851.0ms (38%)

Algorithm

1×

intervals

Results

319.0ms	8000×	pre	128	true
205.0ms	8000×	body	128	valid

Compiler

Compiled 108 to 91 computations (15.7% saved)

Details

analyze3.0ms (0.1%)

sample29.0ms (1.3%)

simplify163.0ms (7.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite15.0ms (0.7%)

series59.0ms (2.7%)

simplify76.0ms (3.4%)

prune47.0ms (2.1%)

localize7.0ms (0.3%)

rewrite17.0ms (0.8%)

series116.0ms (5.2%)

simplify69.0ms (3.1%)

prune33.0ms (1.5%)

localize8.0ms (0.3%)

rewrite14.0ms (0.6%)

series127.0ms (5.7%)

simplify53.0ms (2.4%)

prune19.0ms (0.9%)

localize10.0ms (0.4%)

rewrite29.0ms (1.3%)

series244.0ms (10.9%)

simplify73.0ms (3.3%)

prune51.0ms (2.3%)

regimes112.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample851.0ms (38%)

Profiling