Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

354×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 8.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.9b	(- (* x y) (* z y))
8.2b	(* (- (* x y) (* z y)) t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
5.0ms	(* (- (* x y) (* z y)) t)

series75.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- (* x y) (* z y))
44.0ms	(* (- (* x y) (* z y)) t)

simplify98.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	157	205
1	644	173
2	3801	169
3	5001	169

prune93.0ms

Filtered

40 candidates to 31 candidates (77.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	31	9	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	10	41

Merged error: 0.1b

Counts

41 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

6.0ms	(* (- x z) t)
8.0ms	(* y (* (- x z) t))

series68.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- x z) t)
37.0ms	(* y (* (- x z) t))

simplify106.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	183	193
1	784	160
2	4688	160
3	5001	160

prune91.0ms

Filtered

48 candidates to 33 candidates (68.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	44	14	58

Merged error: 0.0b

Counts

58 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(* (cbrt t) (cbrt t))
5.9b	(* y (* (* (- x z) (* (cbrt t) (cbrt t))) (cbrt t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1`
23×	`add-sqr-sqrt`
22×	`cbrt-prod`
20×	`add-exp-log`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
12×	`pow-prod-down`
11×	`prod-exp` `cbrt-unprod`
9×	`associate-l`
8×	`pow1/3`
7×	`associate-r`
6×	`swap-sqr`
4×	`associate-*l/` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`pow2` `flip3--` `pow-plus` `flip--`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
5.0ms	(* (cbrt t) (cbrt t))
14.0ms	(* y (* (* (- x z) (* (cbrt t) (cbrt t))) (cbrt t)))

series625.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt t)
187.0ms	(cbrt t)
188.0ms	(* (cbrt t) (cbrt t))
69.0ms	(* y (* (* (- x z) (* (cbrt t) (cbrt t))) (cbrt t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	331	546
1	1600	421
2	5002	374

prune203.0ms

Filtered

100 candidates to 70 candidates (70.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	4	7	11
Picked	0	1	1
Done	0	2	2
Total	102	12	114

Merged error: 0b

Counts

114 → 12

localize5.0ms

Local error

Found 1 expressions with local error:

8.1b	(* (* y t) (- x z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* y t) (- x z))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (* y t) (- x z))

simplify99.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	175	134
1	812	111
2	4267	111
3	5001	111

prune37.0ms

Filtered

29 candidates to 16 candidates (55.2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	2	6	8
Picked	0	1	1
Done	0	3	3
Total	29	12	41

Merged error: 0b

Counts

41 → 12

regimes353.0ms

Accuracy

69.9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 7.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	26	16

end0.0ms

sample597.0ms

Algorithm

intervals

Results

314.0ms

10646×

body

valid