Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample57.0ms (0.1%)

Algorithm

1×

intervals

Results

35.0ms	101×	body	1024	valid
6.0ms	37×	body	512	valid
5.0ms	10×	body	2048	valid
3.0ms	93×	body	128	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

prune5.0ms (0%)

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

40.4b

Counts

2 → 1

Compiler

Compiled 4 to 4 computations (0% saved)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

3.8b	(log.f64 (+.f64 1 x))
3.8b	(log.f64 (+.f64 1 x))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_760` `log-prod_binary64_846`
2×	`log-div_binary64_847` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `pow1_binary64_821` `add-sqr-sqrt_binary64_782`
1×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `add-log-exp_binary64_799` `flip-+_binary64_734` `add-cbrt-cube_binary64_796` `log-pow_binary64_849` `rem-log-exp_binary64_801`

Counts

1 → 15

Calls

2 calls:

3.0ms	(log.f64 (+.f64 1 x))
0.0ms	(log.f64 (+.f64 1 x))

series28.0ms (0%)

Counts

1 → 9

Calls

1 calls:

28.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 112 to 99 computations (11.6% saved)

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5015	267

prune79.0ms (0.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	5	19	24
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	5	20	25

Error

0.0b

Counts

25 → 20

Compiler

Compiled 367 to 288 computations (21.5% saved)

localize7.0ms (0%)

Local error

Found 6 expressions with local error:

0.4b	(*.f64 x 1/3)
0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.4b	(*.f64 x 1/3)

rewrite25.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_782`
9×	`-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `associate-l*_binary64_701` `pow1_binary64_821`
4×	`associate-*r/_binary64_702`
3×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`
2×	`flip3-+_binary64_763` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `flip-+_binary64_734`

Counts

3 → 62

Calls

6 calls:

11.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
6.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
4.0ms	(*.f64 x 1/3)
0.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))

series103.0ms (0.2%)

Counts

3 → 14

Calls

3 calls:

50.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
36.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
16.0ms	(*.f64 x 1/3)

Compiler

Compiled 235 to 201 computations (14.5% saved)

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5102	916

localize4.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x x) 1/2)
0.0b	(-.f64 x (.f64 (.f64 x x) 1/2))
0.0b	(-.f64 x (.f64 (.f64 x x) 1/2))
0.2b	(.f64 (.f64 x x) 1/2)

rewrite11.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
4×	`add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782`
3×	`-un-lft-identity_binary64_760` `prod-exp_binary64_809` `add-cube-cbrt_binary64_795` `associate-r*_binary64_700` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
1×	`diff-log_binary64_852` `unswap-sqr_binary64_728` `cancel-sign-sub-inv_binary64_726` `associate-l_binary64_701` `sub-neg_binary64_753` `*-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`

Counts

2 → 31

Calls

4 calls:

6.0ms	(.f64 (.f64 x x) 1/2)
3.0ms	(-.f64 x (.f64 (.f64 x x) 1/2))
0.0ms	(-.f64 x (.f64 (.f64 x x) 1/2))
0.0ms	(.f64 (.f64 x x) 1/2)

series72.0ms (0.1%)

Counts

2 → 9

Calls

2 calls:

48.0ms	(-.f64 x (.f64 (.f64 x x) 1/2))
25.0ms	(.f64 (.f64 x x) 1/2)

Compiler

Compiled 95 to 83 computations (12.6% saved)

simplify99.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4903	406
1	4903	406

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 1 x) (log.f64 x))
0.0b	(+.f64 (/.f64 1 x) (log.f64 x))

rewrite10.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_760`
4×	`distribute-lft-out_binary64_711`
3×	`associate-+r+_binary64_692` `pow1_binary64_821` `log-prod_binary64_846`
2×	`add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `div-inv_binary64_757` `log-pow_binary64_849` `add-sqr-sqrt_binary64_782`
1×	`flip3-+_binary64_763` `add-exp-log_binary64_798` `flip-+_binary64_734` `add-cbrt-cube_binary64_796` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

1 → 18

Calls

2 calls:

8.0ms	(+.f64 (/.f64 1 x) (log.f64 x))
0.0ms	(+.f64 (/.f64 1 x) (log.f64 x))

series57.0ms (0.1%)

Counts

1 → 5

Calls

1 calls:

57.0ms

(+.f64 (/.f64 1 x) (log.f64 x))

Compiler

Compiled 55 to 50 computations (9.1% saved)

simplify99.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4869	254
1	4869	254

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

3.8b	(log.f64 (-.f64 1 x))
2.0b	(log.f64 (-.f64 1 (*.f64 x x)))
0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
2.0b	(log.f64 (-.f64 1 (*.f64 x x)))
3.8b	(log.f64 (-.f64 1 x))

rewrite21.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`log-prod_binary64_846`
20×	`*-un-lft-identity_binary64_760`
18×	`add-sqr-sqrt_binary64_782`
10×	`pow1_binary64_821`
9×	`difference-of-squares_binary64_729`
8×	`log-div_binary64_847` `add-cube-cbrt_binary64_795`
7×	`log-pow_binary64_849`
6×	`distribute-lft-out--_binary64_712` `associate--r+_binary64_696`
5×	`add-exp-log_binary64_798` `associate--l+_binary64_697` `flip--_binary64_735` `flip3--_binary64_764`
4×	`cancel-sign-sub-inv_binary64_726`
3×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
2×	`associate--l-_binary64_698` `associate--r-_binary64_699` `rem-log-exp_binary64_801`
1×	`diff-log_binary64_852` `sub-neg_binary64_753`

Counts

3 → 68

Calls

6 calls:

9.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
0.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
0.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

series129.0ms (0.2%)

Counts

3 → 22

Calls

3 calls:

55.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
45.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
28.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 411 to 354 computations (13.9% saved)

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5075	1353

localize14.0ms (0%)

Local error

Found 6 expressions with local error:

15.2b	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
14.1b	(log.f64 (+.f64 1 (pow.f64 x 3)))
0.3b	(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
0.3b	(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
14.1b	(log.f64 (+.f64 1 (pow.f64 x 3)))
15.2b	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

rewrite33.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_760`
16×	`log-prod_binary64_846`
10×	`pow1_binary64_821` `add-sqr-sqrt_binary64_782`
8×	`log-div_binary64_847` `add-cube-cbrt_binary64_795`
7×	`log-pow_binary64_849`
5×	`add-exp-log_binary64_798`
4×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `cancel-sign-sub-inv_binary64_726` `flip-+_binary64_734` `distribute-lft-out--_binary64_712` `associate--r+_binary64_696` `associate--l+_binary64_697`
3×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
2×	`associate--l-_binary64_698` `associate--r-_binary64_699` `rem-log-exp_binary64_801`
1×	`diff-log_binary64_852` `difference-of-squares_binary64_729` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 62

Calls

6 calls:

16.0ms	(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
6.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
6.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
0.0ms	(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
0.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))

series305.0ms (0.5%)

Counts

3 → 27

Calls

3 calls:

213.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
51.0ms	(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
41.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

Compiler

Compiled 555 to 473 computations (14.8% saved)

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5099	1744

prune3.7s (6.5%)

Pruning

169 alts after pruning (164 fresh and 5 done)

	Pruned	Kept	Total
New	167	151	318
Fresh	1	13	14
Picked	0	0	0
Done	1	5	6
Total	169	169	338

Error

Counts

338 → 169

Compiler

Compiled 7135 to 5141 computations (27.9% saved)

localize7.0ms (0%)

Local error

Found 6 expressions with local error:

0.4b	(*.f64 x 1/3)
0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.0b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.0b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.4b	(*.f64 x 1/3)

rewrite26.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821` `add-sqr-sqrt_binary64_782`
9×	`associate-l_binary64_701`
8×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
7×	`associate-r_binary64_700`
6×	`associate-*r/_binary64_702`
5×	`prod-exp_binary64_809` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
3×	`add-log-exp_binary64_799` `*-commutative_binary64_691`
2×	`unswap-sqr_binary64_728` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

3 → 64

Calls

6 calls:

9.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
4.0ms	(*.f64 x 1/3)
0.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))

series126.0ms (0.2%)

Counts

3 → 15

Calls

3 calls:

60.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
48.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
17.0ms	(*.f64 x 1/3)

Compiler

Compiled 268 to 211 computations (21.3% saved)

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4933	861
1	4933	861

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

12.7b	(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))
3.8b	(log.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x))))
3.8b	(log.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x))))
12.7b	(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64_760`
32×	`times-frac_binary64_766`
22×	`log-prod_binary64_846`
21×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
18×	`distribute-lft-out_binary64_711`
7×	`add-exp-log_binary64_798`
4×	`associate-/r/_binary64_706` `associate-/r_binary64_704` `add-cbrt-cube_binary64_796` `associate-/l_binary64_705`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `pow1_binary64_821`
2×	`associate-/l/_binary64_707` `add-log-exp_binary64_799` `div-inv_binary64_757` `rem-log-exp_binary64_801` `div-exp_binary64_811`
1×	`log-div_binary64_847` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `log-pow_binary64_849` `clear-num_binary64_759`

Counts

2 → 73

Calls

4 calls:

13.0ms	(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))
11.0ms	(log.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x))))
0.0ms	(log.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x))))
0.0ms	(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))

series119.0ms (0.2%)

Counts

2 → 15

Calls

2 calls:

77.0ms	(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))
42.0ms	(log.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x))))

Compiler

Compiled 142 to 130 computations (8.5% saved)

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5496	2332

localize21.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x 2/3))) (-.f64 (.f64 1/4 (pow.f64 x 4)) x)))
0.0b	(+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x 2/3))) (-.f64 (.f64 1/4 (pow.f64 x 4)) x))
0.0b	(*.f64 1/4 (pow.f64 x 4))
0.0b	(+.f64 1/2 (*.f64 x 2/3))
0.0b	(+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x 2/3))) (-.f64 (.f64 1/4 (pow.f64 x 4)) x))
0.1b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 2/3)))
0.4b	(*.f64 x 2/3)
14.1b	(log.f64 (+.f64 1 (pow.f64 x 3)))

rewrite40.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary64_798` `pow1_binary64_821` `add-sqr-sqrt_binary64_782`
11×	`*-un-lft-identity_binary64_760` `add-cbrt-cube_binary64_796`
9×	`add-cube-cbrt_binary64_795` `add-log-exp_binary64_799`
6×	`associate-r_binary64_700` `associate-*r/_binary64_702`
5×	`flip3-+_binary64_763` `flip-+_binary64_734`
4×	`prod-exp_binary64_809` `frac-add_binary64_768` `associate-+r+_binary64_692` `associate-l_binary64_701` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `log-prod_binary64_846`
3×	`cancel-sign-sub-inv_binary64_726`
2×	`log-div_binary64_847` `unswap-sqr_binary64_728` `distribute-lft-in_binary64_709` `associate-+l+_binary64_693` `distribute-rgt-in_binary64_710` `sum-log_binary64_851` `*-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`
1×	`diff-log_binary64_852` `distribute-lft-out_binary64_711` `log-pow_binary64_849` `+-commutative_binary64_690` `rem-log-exp_binary64_801` `sub-neg_binary64_753` `associate-+r-_binary64_694`

Counts

4 → 79

Calls

8 calls:

13.0ms	(+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x 2/3))) (-.f64 (.f64 1/4 (pow.f64 x 4)) x))
8.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 2/3)))
6.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
5.0ms	(*.f64 x 2/3)
0.0ms	(+.f64 1/2 (*.f64 x 2/3))

series281.0ms (0.5%)

Counts

4 → 21

Calls

4 calls:

174.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
62.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 2/3)))
25.0ms	(+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x 2/3))) (-.f64 (.f64 1/4 (pow.f64 x 4)) x))
20.0ms	(*.f64 x 2/3)

Compiler

Compiled 762 to 628 computations (17.6% saved)

simplify72.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4969	1819
1	4969	1819

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

14.1b	(log.f64 (+.f64 1 (pow.f64 x 3)))
0.3b	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
0.2b	(pow.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) 3)
0.2b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) 3))
0.2b	(pow.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) 3)
0.3b	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
14.1b	(log.f64 (+.f64 1 (pow.f64 x 3)))
15.2b	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

rewrite43.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
12×	`log-prod_binary64_846`
11×	`add-cube-cbrt_binary64_795` `pow1_binary64_821`
7×	`add-exp-log_binary64_798`
6×	`log-div_binary64_847` `log-pow_binary64_849`
5×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729` `add-cbrt-cube_binary64_796` `cube-prod_binary64_788` `unpow-prod-down_binary64_839`
4×	`cancel-sign-sub-inv_binary64_726` `cbrt-prod_binary64_791` `associate--r+_binary64_696`
3×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `pow-unpow_binary64_837`
2×	`distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `rem-log-exp_binary64_801` `sqr-pow_binary64_732`
1×	`cube-mult_binary64_790` `diff-log_binary64_852` `unpow3_binary64_826` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `pow-to-exp_binary64_829` `sub-neg_binary64_753` `flip--_binary64_735` `pow-pow_binary64_832` `flip3--_binary64_764`

Counts

4 → 83

Calls

8 calls:

16.0ms	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
9.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
6.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
3.0ms	(pow.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) 3)
0.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) 3))

series584.0ms (1%)

Counts

4 → 35

Calls

4 calls:

283.0ms	(pow.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) 3)
208.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
48.0ms	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
45.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

Compiler

Compiled 1001 to 857 computations (14.4% saved)

simplify93.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4973	2303
1	4973	2303

prune9.3s (16.1%)

Pruning

297 alts after pruning (288 fresh and 9 done)

	Pruned	Kept	Total
New	230	155	385
Fresh	26	133	159
Picked	0	0	0
Done	1	9	10
Total	257	297	554

Error

Counts

554 → 297

Compiler

Compiled 13375 to 9726 computations (27.3% saved)

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

0.4b	(.f64 (.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3))
0.1b	(.f64 x (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)))
0.0b	(.f64 x (.f64 x (+.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3)) -1/2)))
0.0b	(.f64 x (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3)) -1/2))
0.0b	(.f64 x (.f64 x (+.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3)) -1/2)))
0.1b	(.f64 x (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)))
0.4b	(.f64 (.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3))
1.0b	(*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))

rewrite50.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`pow1_binary64_821`
25×	`add-exp-log_binary64_798` `add-sqr-sqrt_binary64_782`
19×	`cbrt-prod_binary64_791`
16×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796`
14×	`associate-r_binary64_700` `pow-prod-down_binary64_831`
13×	`prod-exp_binary64_809` `associate-l_binary64_701` `cbrt-unprod_binary64_793`
6×	`pow1/3_binary64_842` `swap-sqr_binary64_727`
5×	`unswap-sqr_binary64_728`
4×	`distribute-lft-in_binary64_709` `add-log-exp_binary64_799` `distribute-rgt-in_binary64_710` `associate-r/_binary64_702` `-commutative_binary64_691`
2×	`pow-sqr_binary64_733` `pow-prod-up_binary64_830`
1×	`pow2_binary64_841` `flip3-+_binary64_763` `pow-plus_binary64_823` `flip-+_binary64_734`

Counts

4 → 107

Calls

8 calls:

14.0ms	(.f64 x (.f64 x (+.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3)) -1/2)))
11.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3))
8.0ms	(*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))
7.0ms	(.f64 x (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)))
0.0ms	(.f64 x (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3)) -1/2))

series210.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(.f64 x (.f64 x (+.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3)) -1/2)))
55.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3))
52.0ms	(.f64 x (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)))
0.0ms	(*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))

Compiler

Compiled 309 to 258 computations (16.5% saved)

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5046	1161

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize10.0ms (0%)

Local error

Found 6 expressions with local error:

15.2b	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
11.5b	(cbrt.f64 (pow.f64 x 9))
0.0b	(-.f64 (cbrt.f64 (pow.f64 x 9)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
0.0b	(-.f64 (cbrt.f64 (pow.f64 x 9)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
11.5b	(cbrt.f64 (pow.f64 x 9))
15.2b	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

rewrite25.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
10×	`cbrt-prod_binary64_791`
8×	`add-cube-cbrt_binary64_795` `log-prod_binary64_846`
6×	`pow1_binary64_821`
4×	`log-div_binary64_847` `add-exp-log_binary64_798` `cancel-sign-sub-inv_binary64_726` `add-log-exp_binary64_799` `difference-of-squares_binary64_729` `associate--r+_binary64_696` `unpow-prod-down_binary64_839`
3×	`add-cbrt-cube_binary64_796` `log-pow_binary64_849`
2×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `sqr-pow_binary64_732`
1×	`pow1/3_binary64_842` `diff-log_binary64_852` `rem-log-exp_binary64_801` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 57

Calls

6 calls:

12.0ms	(-.f64 (cbrt.f64 (pow.f64 x 9)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
6.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
2.0ms	(cbrt.f64 (pow.f64 x 9))
0.0ms	(-.f64 (cbrt.f64 (pow.f64 x 9)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
0.0ms	(cbrt.f64 (pow.f64 x 9))

series97.0ms (0.2%)

Counts

3 → 16

Calls

3 calls:

36.0ms	(cbrt.f64 (pow.f64 x 9))
32.0ms	(-.f64 (cbrt.f64 (pow.f64 x 9)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
29.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

Compiler

Compiled 295 to 250 computations (15.3% saved)

simplify69.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4907	1354
1	4907	1354

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

11.0b	(sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
3.8b	(log.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (.f64 x x) x)))) (/.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))
1.7b	(/.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
0.0b	(/.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
3.8b	(log.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (.f64 x x) x)))) (/.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))
11.0b	(sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
11.0b	(sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
11.0b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (.f64 x x) x)))) (/.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))))

rewrite104.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`add-sqr-sqrt_binary64_782`
74×	`*-un-lft-identity_binary64_760`
71×	`times-frac_binary64_766`
49×	`add-exp-log_binary64_798`
47×	`sqrt-prod_binary64_776`
36×	`add-cube-cbrt_binary64_795`
34×	`associate-r_binary64_700`
27×	`associate-l_binary64_701`
16×	`distribute-lft-out_binary64_711` `prod-exp_binary64_809` `add-cbrt-cube_binary64_796` `div-exp_binary64_811`
15×	`unswap-sqr_binary64_728`
11×	`pow1_binary64_821`
9×	`rem-log-exp_binary64_801`
8×	`sqrt-div_binary64_777`
4×	`cbrt-undiv_binary64_794` `associate-/r/_binary64_706` `flip3-+_binary64_763` `add-log-exp_binary64_799` `flip-+_binary64_734` `rec-exp_binary64_810` `cbrt-unprod_binary64_793` `1-exp_binary64_804`
3×	`log-div_binary64_847`
2×	`rem-sqrt-square_binary64_773` `associate-l/_binary64_703` `sqrt-pow1_binary64_778` `div-inv_binary64_757` `log-pow_binary64_849` `frac-times_binary64_770` `associate-r/_binary64_702` `pow1/2_binary64_840` `pow-prod-down_binary64_831`
1×	`*-commutative_binary64_691` `log-prod_binary64_846`

Counts

4 → 154

Calls

8 calls:

43.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (.f64 x x) x)))) (/.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))))
24.0ms	(log.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (.f64 x x) x)))) (/.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))
6.0ms	(sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
6.0ms	(sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
0.0ms	(/.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))

series181.0ms (0.3%)

Counts

4 → 37

Calls

4 calls:

68.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (.f64 x x) x)))) (/.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))))
42.0ms	(log.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (.f64 x x) x)))) (/.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))
36.0ms	(sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
34.0ms	(sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

Compiler

Compiled 766 to 642 computations (16.2% saved)

simplify100.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5096	4655

localize21.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 2/3 (cbrt.f64 x))))) (-.f64 (.f64 1/4 (pow.f64 x 4)) x)))
0.0b	(-.f64 (*.f64 1/4 (pow.f64 x 4)) x)
0.0b	(+.f64 1/2 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 2/3 (cbrt.f64 x))))
0.0b	(*.f64 1/4 (pow.f64 x 4))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
14.1b	(log.f64 (+.f64 1 (pow.f64 x 3)))

rewrite14.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_760`
9×	`cbrt-prod_binary64_791`
8×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
5×	`add-exp-log_binary64_798` `pow1_binary64_821`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `log-prod_binary64_846`
3×	`pow1/3_binary64_842`
2×	`log-div_binary64_847`
1×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `log-pow_binary64_849` `rem-log-exp_binary64_801`

Counts

4 → 48

Calls

8 calls:

6.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(*.f64 1/4 (pow.f64 x 4))

series402.0ms (0.7%)

Counts

4 → 15

Calls

4 calls:

168.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
81.0ms	(cbrt.f64 x)
76.0ms	(cbrt.f64 x)
76.0ms	(cbrt.f64 x)

Compiler

Compiled 941 to 706 computations (25% saved)

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4979	526
1	4979	526

prune17.5s (30.2%)

Pruning

409 alts after pruning (396 fresh and 13 done)

	Pruned	Kept	Total
New	309	137	446
Fresh	24	259	283
Picked	0	0	0
Done	1	13	14
Total	334	409	743

Error

Counts

743 → 409

Compiler

Compiled 8210 to 5190 computations (36.8% saved)

simplify379.0ms (0.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5016	26744

regimes3.7s (6.4%)

Compiler: Compiled 42597 to 32157 computations (24.5% saved)

bsearch26.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes1.4s (2.4%)

Compiler: Compiled 13709 to 10746 computations (21.6% saved)

bsearch9.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes925.0ms (1.6%)

Compiler: Compiled 8737 to 6936 computations (20.6% saved)

bsearch6.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes150.0ms (0.3%)

Compiler: Compiled 879 to 716 computations (18.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes43.0ms (0.1%)

Compiler: Compiled 191 to 151 computations (20.9% saved)

bsearch16.0ms (0%)

Steps

Iters	Range		Point
10	8.461330883091591e-10	98.34028342914021	1.422625085086669

Compiler

Compiled 1 to 1 computations (0% saved)

regimes42.0ms (0.1%)

Compiler: Compiled 186 to 146 computations (21.5% saved)

bsearch16.0ms (0%)

Steps

Iters	Range		Point
10	8.461330883091591e-10	98.34028342914021	1.1716128099872232

Compiler

Compiled 1 to 1 computations (0% saved)

regimes32.0ms (0.1%)

Compiler: Compiled 112 to 89 computations (20.5% saved)

bsearch15.0ms (0%)

Steps

Iters	Range		Point
10	8.461330883091591e-10	98.34028342914021	1.1357539135444452

Compiler

Compiled 1 to 1 computations (0% saved)

regimes24.0ms (0%)

Compiler: Compiled 53 to 45 computations (15.1% saved)

bsearch13.0ms (0%)

Steps

Iters	Range		Point
10	8.461330883091591e-10	98.34028342914021	1.0998950171016673

Compiler

Compiled 1 to 1 computations (0% saved)

regimes19.0ms (0%)

Compiler: Compiled 21 to 22 computations (-4.8% saved)

bsearch14.0ms (0%)

Steps

Iters	Range		Point
10	8.461330883091591e-10	98.34028342914021	1.0998950171016673

Compiler

Compiled 1 to 1 computations (0% saved)

regimes15.0ms (0%)

Accuracy

Total 0.2b remaining (94.5%)

Threshold costs 0.2b (94.5%)

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch26.0ms (0%)

Steps

Iters	Range		Point
10	8.461330883091591e-10	98.34028342914021	0.9961591638866667

Compiler

Compiled 221 to 171 computations (22.6% saved)

simplify17.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	608	322
1	608	322

end0.0ms (0%)

sample15.7s (27.1%)

Algorithm

1×

intervals

Results

853.0ms	2652×	body	1024	valid
218.0ms	1324×	body	512	valid
109.0ms	254×	body	2048	valid
96.0ms	3073×	body	128	valid
60.0ms	697×	body	256	valid

Compiler

Compiled 14827 to 11194 computations (24.5% saved)

Pareto

0.7446533543667408