Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

330×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	3

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

2.1b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y t) (- z x) x)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(fma (/ y t) (- z x) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune38.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	10	5	15

Merged error: 0.1b

Counts

15 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y t) (- z x)) x)
5.9b	(* (/ y t) (- z x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

10.0ms	(+ (* (/ y t) (- z x)) x)
10.0ms	(* (/ y t) (- z x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* (/ y t) (- z x)) x)
55.0ms	(* (/ y t) (- z x))

simplify50.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	468	779
1	1870	547
2	5001	533

prune204.0ms

Filtered

104 candidates to 70 candidates (67.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 0.0b

Counts

109 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series707.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt t)
176.0ms	(cbrt y)
177.0ms	(cbrt y)
170.0ms	(cbrt y)

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	73	172
1	149	160
2	350	152
3	1283	152
4	5001	152

prune196.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

5.9b	(* (/ y t) (- z x))
7.0b	(cbrt (* (/ y t) (- z x)))
7.0b	(cbrt (* (/ y t) (- z x)))
7.0b	(cbrt (* (/ y t) (- z x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
18×	`prod-diff`
15×	`cbrt-div`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`sub-neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

10.0ms	(* (/ y t) (- z x))
6.0ms	(cbrt (* (/ y t) (- z x)))
6.0ms	(cbrt (* (/ y t) (- z x)))
7.0ms	(cbrt (* (/ y t) (- z x)))

series438.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (/ y t) (- z x))
123.0ms	(cbrt (* (/ y t) (- z x)))
132.0ms	(cbrt (* (/ y t) (- z x)))
127.0ms	(cbrt (* (/ y t) (- z x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	464	940
1	1720	759
2	5001	741

prune314.0ms

Filtered

122 candidates to 94 candidates (77.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

regimes144.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample551.0ms

Algorithm

intervals

Results

282.0ms

10606×

body

valid