Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

331×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune7.0ms

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:

2.3b	(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)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

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

prune31.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.1b

Counts

15 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
2.3b	(fma (/ y t) (- z x) x)
2.3b	(fma (/ y t) (- z x) x)
2.3b	(fma (/ y t) (- z x) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y t) (- z x) x))
1.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)

series275.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (fma (/ y t) (- z x) x))
28.0ms	(fma (/ y t) (- z x) x)
27.0ms	(fma (/ y t) (- z x) x)
32.0ms	(fma (/ y t) (- z x) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	116	320
1	284	290
2	1044	260
3	5001	255

prune150.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	54	6	60

Merged error: 0.0b

Counts

60 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
6.3b	(/ (* y (- z x)) t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

7.0ms	(* y (- z x))
5.0ms	(+ x (/ (* y (- z x)) t))
8.0ms	(/ (* y (- z x)) t)

series126.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* y (- z x))
42.0ms	(+ x (/ (* y (- z x)) t))
48.0ms	(/ (* y (- z x)) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	377	600
1	1715	428
2	5003	420

prune146.0ms

Filtered

97 candidates to 56 candidates (57.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	3	0	3
Picked	0	1	1
Done	1	1	2
Total	97	6	103

Merged error: 0b

Counts

103 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

6.3b	(/ (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x)))) t)
9.5b	(cbrt (* y (- z x)))
9.5b	(cbrt (* y (- z x)))
9.5b	(cbrt (* y (- z x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

68×	`associate-*r/`
60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-/l/`
14×	`associate-*l/`
13×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 90

Calls

4 calls:

14.0ms	(/ (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x)))) t)
5.0ms	(cbrt (* y (- z x)))
5.0ms	(cbrt (* y (- z x)))
5.0ms	(cbrt (* y (- z x)))

series773.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x)))) t)
161.0ms	(cbrt (* y (- z x)))
163.0ms	(cbrt (* y (- z x)))
367.0ms	(cbrt (* y (- z x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	344	946
1	1103	804
2	5002	729

prune312.0ms

Filtered

102 candidates to 89 candidates (87.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	102	6	108

Merged error: 0b

Counts

108 → 6

regimes179.0ms

Accuracy

65% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.1b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms

sample610.0ms

Algorithm

intervals

Results

344.0ms

10643×

body

valid