Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

321×

body

valid

simplify185.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	84	4
3	206	4
4	406	4
5	540	4
6	706	4
7	957	4
8	1458	4
9	2384	4
10	3658	4
11	4031	4
12	4429	4
13	5002	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 2.8b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* (- 1.0 y) z))
0.0b	(* (- 1.0 y) z)
2.7b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`associate-l`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`associate-r`
5×	`add-log-exp`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 58

Calls

3 calls:

3.0ms	(- 1.0 (* (- 1.0 y) z))
6.0ms	(* (- 1.0 y) z)
8.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series96.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- 1.0 (* (- 1.0 y) z))
31.0ms	(* (- 1.0 y) z)
44.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify95.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	233	336
1	920	299
2	4132	288
3	5001	288

prune90.0ms

Filtered

67 candidates to 43 candidates (64.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	5	68

Merged error: 0.0b

Counts

68 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
4.1b	(* (* x z) (- y 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `add-log-exp`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms	(* (* x z) (- y 1.0))

series134.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
45.0ms	(* (* x z) (- y 1.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	257	266
1	1177	224
2	5002	219

prune70.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	46	6	52

Merged error: 0.0b

Counts

52 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (* x z) (- y 1.0))
5.6b	(cbrt (* (* x z) (- y 1.0)))
5.6b	(cbrt (* (* x z) (- y 1.0)))
5.6b	(cbrt (* (* x z) (- y 1.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`add-cube-cbrt` `associate-r`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 59

Calls

4 calls:

7.0ms	(* (* x z) (- y 1.0))
6.0ms	(cbrt (* (* x z) (- y 1.0)))
8.0ms	(cbrt (* (* x z) (- y 1.0)))
6.0ms	(cbrt (* (* x z) (- y 1.0)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* x z) (- y 1.0))
191.0ms	(cbrt (* (* x z) (- y 1.0)))
191.0ms	(cbrt (* (* x z) (- y 1.0)))
185.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	356	735
1	1382	659
2	5001	650

prune206.0ms

Filtered

71 candidates to 55 candidates (77.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
0.1b	(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
1.2b	(sqrt (- 1.0 (* (- 1.0 y) z)))
1.2b	(sqrt (- 1.0 (* (- 1.0 y) z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
10.0ms	(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
2.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))
2.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
46.0ms	(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
93.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))
93.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	356	871
1	1452	755
2	5002	743

prune160.0ms

Filtered

95 candidates to 64 candidates (67.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

regimes302.0ms

Accuracy

94.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample470.0ms

Algorithm

intervals

Results

274.0ms

10182×

body

valid