Details

analyze242.0ms (11.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4679	13
1	4679	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.4%	13
66.6%	0%	33.4%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample10.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify156.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4679	13
1	4679	13

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

0.2b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984` `pow1_binary64_24009`
3×	`prod-exp_binary64_23997` `cbrt-unprod_binary64_23981` `add-sqr-sqrt_binary64_23970` `associate-r_binary64_23888` `pow-prod-down_binary64_24019`
2×	`associate-r/_binary64_23890` `-un-lft-identity_binary64_23948` `sub-neg_binary64_23941` `cancel-sign-sub-inv_binary64_23914` `distribute-rgt-in_binary64_23898` `add-cube-cbrt_binary64_23983` `distribute-lft-in_binary64_23897`
1×	`flip3--_binary64_23952` `associate-l_binary64_23889` `flip--_binary64_23923` `*-commutative_binary64_23879` `unswap-sqr_binary64_23916` `add-log-exp_binary64_23987`

Counts

1 → 25

Calls

1 calls:

12.0ms

(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

series47.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

47.0ms

(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

simplify60.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5105	417

prune35.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	6	29

Error

0.0b

Counts

29 → 6

Compiler

Compiled 489 to 336 computations (31.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
0.2b	(.f64 (.f64 x x) 3)

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984` `pow1_binary64_24009`
4×	`add-sqr-sqrt_binary64_23970` `add-log-exp_binary64_23987`
3×	`prod-exp_binary64_23997` `-un-lft-identity_binary64_23948` `cbrt-unprod_binary64_23981` `add-cube-cbrt_binary64_23983` `associate-r*_binary64_23888` `pow-prod-down_binary64_24019`
1×	`associate-l_binary64_23889` `flip-+_binary64_23922` `*-commutative_binary64_23879` `flip3-+_binary64_23951` `+-commutative_binary64_23878` `unswap-sqr_binary64_23916` `sum-log_binary64_24039`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) 3)
6.0ms	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))

series79.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
19.0ms	(.f64 (.f64 x x) 3)

simplify69.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5710	432

prune36.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Error

0.0b

Counts

42 → 5

Compiler

Compiled 577 to 405 computations (29.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (.f64 x 3)) (*.f64 (pow.f64 x 3) -2))
0.2b	(.f64 x (.f64 x 3))

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984` `pow1_binary64_24009`
4×	`add-log-exp_binary64_23987`
3×	`prod-exp_binary64_23997` `-un-lft-identity_binary64_23948` `associate-l*_binary64_23889` `cbrt-unprod_binary64_23981` `add-sqr-sqrt_binary64_23970` `add-cube-cbrt_binary64_23983` `pow-prod-down_binary64_24019`
1×	`flip-+_binary64_23922` `-commutative_binary64_23879` `flip3-+_binary64_23951` `+-commutative_binary64_23878` `sum-log_binary64_24039` `associate-r*_binary64_23888`

Counts

2 → 29

Calls

2 calls:

5.0ms	(+.f64 (.f64 x (.f64 x 3)) (*.f64 (pow.f64 x 3) -2))
5.0ms	(.f64 x (.f64 x 3))

series78.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(+.f64 (.f64 x (.f64 x 3)) (*.f64 (pow.f64 x 3) -2))
19.0ms	(.f64 x (.f64 x 3))

simplify61.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5439	416

prune30.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Error

0.0b

Counts

40 → 5

Compiler

Compiled 552 to 398 computations (27.9% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x (sqrt.f64 3)) (.f64 x (sqrt.f64 3))) (.f64 (pow.f64 x 3) -2))
0.3b	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
0.4b	(*.f64 x (sqrt.f64 3))
0.4b	(*.f64 x (sqrt.f64 3))

rewrite38.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`pow1_binary64_24009`
20×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984`
19×	`pow-prod-down_binary64_24019`
18×	`add-sqr-sqrt_binary64_23970`
13×	`associate-r_binary64_23888`
10×	`prod-exp_binary64_23997` `*-un-lft-identity_binary64_23948` `cbrt-unprod_binary64_23981` `add-cube-cbrt_binary64_23983`
8×	`sqrt-prod_binary64_23964`
7×	`associate-l_binary64_23889`
6×	`add-log-exp_binary64_23987`
4×	`pow-prod-up_binary64_24018` `pow-sqr_binary64_23921` `unswap-sqr_binary64_23916`
3×	`*-commutative_binary64_23879`
2×	`pow-plus_binary64_24011`
1×	`flip-+_binary64_23922` `flip3-+_binary64_23951` `swap-sqr_binary64_23915` `pow2_binary64_24029` `+-commutative_binary64_23878` `sum-log_binary64_24039`

Counts

4 → 89

Calls

4 calls:

9.0ms	(+.f64 (.f64 (.f64 x (sqrt.f64 3)) (.f64 x (sqrt.f64 3))) (.f64 (pow.f64 x 3) -2))
9.0ms	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
8.0ms	(*.f64 x (sqrt.f64 3))
5.0ms	(*.f64 x (sqrt.f64 3))

series174.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(+.f64 (.f64 (.f64 x (sqrt.f64 3)) (.f64 x (sqrt.f64 3))) (.f64 (pow.f64 x 3) -2))
40.0ms	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
24.0ms	(*.f64 x (sqrt.f64 3))
23.0ms	(*.f64 x (sqrt.f64 3))

simplify74.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5057	886

prune100.0ms (4.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	100	6	106

Error

Counts

106 → 6

Compiler

Compiled 1648 to 1295 computations (21.4% saved)

regimes82.0ms (3.9%)

Accuracy

Total 0.1b remaining (97.6%)

Threshold costs 0.1b (97.6%)

Compiler

Compiled 759 to 597 computations (21.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms (0%)

sample658.0ms (31.3%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 348 to 277 computations (20.4% saved)

Details

analyze242.0ms (11.5%)

sample10.0ms (0.5%)

simplify156.0ms (7.4%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite14.0ms (0.7%)

series47.0ms (2.2%)

simplify60.0ms (2.8%)

prune35.0ms (1.7%)

localize7.0ms (0.3%)

rewrite13.0ms (0.6%)

series79.0ms (3.8%)

simplify69.0ms (3.3%)

prune36.0ms (1.7%)

localize7.0ms (0.3%)

rewrite12.0ms (0.6%)

series78.0ms (3.7%)

simplify61.0ms (2.9%)

prune30.0ms (1.4%)

localize8.0ms (0.4%)

rewrite38.0ms (1.8%)

series174.0ms (8.3%)

simplify74.0ms (3.5%)

prune100.0ms (4.7%)

regimes82.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample658.0ms (31.3%)

Profiling