Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

380×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	26	6
1	81	5
2	248	4
3	613	4
4	1295	4
5	2524	4
6	3349	4
7	4389	4
8	4648	4
9	4648	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

Merged error: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (- d4 d1))
0.0b	(fma (- d2 d3) d1 (* d1 (- d4 d1)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

7.0ms	(* d1 (- d4 d1))
1.0ms	(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* d1 (- d4 d1))
56.0ms	(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify37.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	212	431
1	883	283
2	5001	273

prune77.0ms

Filtered

62 candidates to 33 candidates (53.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 d4) (* (- d1) d1))
0.0b	(fma (- d2 d3) d1 (+ (* d1 d4) (* (- d1) d1)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`associate-l`
12×	`fma-def`
9×	`add-sqr-sqrt` `distribute-lft-out`
7×	`add-cube-cbrt`
4×	`distribute-rgt-neg-in` `associate-r` `*-commutative` `add-log-exp`
2×	`pow1` `add-exp-log` `distribute-lft-neg-out` `expm1-log1p-u` `distribute-rgt-out` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `unsub-neg` `sum-log` `flip-+` `fma-udef` `unswap-sqr`

Counts

2 → 48

Calls

2 calls:

16.0ms	(+ (* d1 d4) (* (- d1) d1))
1.0ms	(fma (- d2 d3) d1 (+ (* d1 d4) (* (- d1) d1)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* d1 d4) (* (- d1) d1))
56.0ms	(fma (- d2 d3) d1 (+ (* d1 d4) (* (- d1) d1)))

simplify113.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	163	229
1	590	191
2	3097	172
3	5002	166

prune93.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1)
0.0b	(fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1))))
0.5b	(cbrt d4)
0.7b	(pow (cbrt d4) 3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-l`
24×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cube-cbrt`
10×	`pow1` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`cbrt-prod` `unpow-prod-down` `associate-r` `distribute-lft-out`
5×	`prod-exp`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `distribute-rgt-neg-in` `pow-prod-down` `cbrt-unprod`
2×	`pow-pow` `pow1/3` `*-commutative` `rem-cube-cbrt`
1×	`pow-to-exp` `flip3-+` `1-exp` `unpow3` `pow-exp` `flip-+` `fma-udef` `sqr-pow`

Counts

4 → 93

Calls

4 calls:

28.0ms	(* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1)
1.0ms	(fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1))))
1.0ms	(cbrt d4)
2.0ms	(pow (cbrt d4) 3)

series1.3s

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1)
801.0ms	(fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1))))
181.0ms	(cbrt d4)
222.0ms	(pow (cbrt d4) 3)

simplify77.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	366	585
1	1943	465
2	5002	460

prune243.0ms

Filtered

105 candidates to 70 candidates (66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	105	4	109

Merged error: 0b

Counts

109 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt d1) (cbrt d1))
0.6b	(cbrt d1)
0.6b	(cbrt d1)
0.6b	(cbrt d1)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt d1) (cbrt d1))
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)

series766.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt d1) (cbrt d1))
187.0ms	(cbrt d1)
182.0ms	(cbrt d1)
187.0ms	(cbrt d1)

simplify101.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune216.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	96	4	100

Merged error: 0b

Counts

100 → 4

regimes90.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample682.0ms

Algorithm

intervals

Results

394.0ms

11780×

body

valid