Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

311×

body

valid

simplify189.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 3.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 y) z)
0.0b	(- 1.0 (* (- 1.0 y) z))
3.1b	(* 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:

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

series94.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* (- 1.0 y) z)
20.0ms	(- 1.0 (* (- 1.0 y) z))
43.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify95.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (26.0ms)

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

prune102.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
4.2b	(* (* x z) (- y 1.0))

rewrite13.0ms

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))

series108.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
45.0ms	(* (* x z) (- y 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (39.0ms)

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

prune74.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- y 1.0))
0.3b	(cbrt (- y 1.0))
1.2b	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
3.0b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
42×	`associate-*r/`
35×	`flip3--` `flip--`
34×	`pow1` `add-exp-log`
32×	`frac-times`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
16×	`associate-*l/`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 118

Calls

4 calls:

3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
37.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
19.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series410.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (- y 1.0))
92.0ms	(cbrt (- y 1.0))
67.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
157.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify89.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	665	1553
1	2582	1345
2	5001	1279

prune271.0ms

Filtered

130 candidates to 77 candidates (59.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	130	8	138

Merged error: 0.0b

Counts

138 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
3.1b	(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
5.0ms	(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

series583.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt z)
167.0ms	(cbrt z)
164.0ms	(cbrt z)
81.0ms	(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

simplify189.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	178	432
1	767	360
2	4754	337
3	5002	337

prune137.0ms

Filtered

69 candidates to 55 candidates (79.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	68	9	77

Merged error: 0.0b

Counts

77 → 9

regimes320.0ms

Accuracy

95.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms

sample429.0ms

Algorithm

intervals

Results

227.0ms

10099×

body

valid