Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

395×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10

prune3.0ms

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: 0.0b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
0.0b	(* (- (+ y t) 2.0) b)
0.0b	(* (- y 1.0) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
16×	`associate-l`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-*l/` `add-cbrt-cube`
9×	`associate-r` `add-log-exp`
8×	`flip3--` `flip--`
4×	`frac-sub` `distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+`
1×	`associate--l-` `distribute-lft-out`

Counts

4 → 87

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
6.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
8.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- y 1.0) z)

series182.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- t 1.0) a)
93.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
32.0ms	(* (- (+ y t) 2.0) b)
28.0ms	(* (- y 1.0) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	520	593
1	2119	539
2	5002	539

prune255.0ms

Filtered

99 candidates to 66 candidates (66.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	5	100

Merged error: 0b

Counts

100 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt a) (cbrt a))
0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)

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`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt a) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series732.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt a) (cbrt a))
182.0ms	(cbrt a)
179.0ms	(cbrt a)
176.0ms	(cbrt a)

simplify96.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune273.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Merged error: 0b

Counts

90 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt (cbrt a))
0.6b	(cbrt (cbrt a))
0.6b	(cbrt (cbrt a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt a)
2.0ms	(cbrt (cbrt a))
2.0ms	(cbrt (cbrt a))
2.0ms	(cbrt (cbrt a))

series903.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt a)
240.0ms	(cbrt (cbrt a))
240.0ms	(cbrt (cbrt a))
244.0ms	(cbrt (cbrt a))

simplify50.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	71	261
1	141	243
2	357	235
3	1377	235
4	5001	235

prune333.0ms

Filtered

65 candidates to 62 candidates (95.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Merged error: 0b

Counts

69 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
0.6b	(cbrt (* (- y 1.0) z))
0.6b	(cbrt (* (- y 1.0) z))
0.6b	(cbrt (* (- y 1.0) z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
9.0ms	(cbrt (* (- y 1.0) z))
5.0ms	(cbrt (* (- y 1.0) z))
5.0ms	(cbrt (* (- y 1.0) z))

series355.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
79.0ms	(cbrt (* (- y 1.0) z))
85.0ms	(cbrt (* (- y 1.0) z))
86.0ms	(cbrt (* (- y 1.0) z))

simplify129.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	353	839
1	1061	784
2	4734	705
3	5001	698

prune329.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

regimes167.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	22
1	31	22

end0.0ms

sample1.1s

Algorithm

intervals

Results

655.0ms	12540×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid