Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

350×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.2b	(* (* z 3.0) y)
7.6b	(/ t (* (* z 3.0) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

4.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ y (* z 3.0))
6.0ms	(* (* z 3.0) y)
7.0ms	(/ t (* (* z 3.0) y))

series104.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- x (/ y (* z 3.0)))
18.0ms	(/ y (* z 3.0))
19.0ms	(* (* z 3.0) y)
32.0ms	(/ t (* (* z 3.0) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	321	380
1	1588	320
2	5001	320

prune184.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ t (* z 3.0))
0.2b	(/ y (* z 3.0))
5.2b	(/ (/ t (* z 3.0)) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp`
7×	`div-inv`
6×	`add-log-exp`
5×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

5.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ t (* z 3.0))
3.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series100.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- x (/ y (* z 3.0)))
21.0ms	(/ t (* z 3.0))
18.0ms	(/ y (* z 3.0))
29.0ms	(/ (/ t (* z 3.0)) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	403	573
1	1550	512
2	5001	512

prune270.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.2b	(/ y (/ t 3.0))
3.2b	(/ (/ 1 z) (/ y (/ t 3.0)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

1979×	`times-frac`
855×	`add-sqr-sqrt` `*-un-lft-identity`
853×	`add-cube-cbrt`
108×	`div-inv`
58×	`associate-/r*`
53×	`add-exp-log`
35×	`div-exp` `add-cbrt-cube`
20×	`cbrt-undiv`
19×	`associate-/l*`
16×	`associate-/r/`
6×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 764

Calls

4 calls:

5.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ y (* z 3.0))
5.0ms	(/ y (/ t 3.0))
24.0ms	(/ (/ 1 z) (/ y (/ t 3.0)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- x (/ y (* z 3.0)))
18.0ms	(/ y (* z 3.0))
19.0ms	(/ y (/ t 3.0))
38.0ms	(/ (/ 1 z) (/ y (/ t 3.0)))

simplify157.0ms

Algorithm

egg-herbie

Counts

776 → 776

Iterations

Useful iterations: 1 (63.0ms)

Iter	Nodes	Cost
0	3834	9587
1	5001	9258

prune1.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 z) (/ y 3.0)))
0.2b	(/ y (/ t 3.0))
0.3b	(* (/ 1 z) (/ y 3.0))
3.2b	(/ (/ 1 z) (/ y (/ t 3.0)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

2001×	`times-frac`
882×	`add-sqr-sqrt`
867×	`*-un-lft-identity`
865×	`add-cube-cbrt`
109×	`div-inv`
70×	`add-exp-log`
57×	`associate-/r*`
42×	`add-cbrt-cube`
41×	`div-exp`
22×	`cbrt-undiv`
16×	`associate-/r/` `associate-/l*`
13×	`associate-r` `associate-l`
8×	`prod-exp`
6×	`pow1` `add-log-exp` `unswap-sqr`
5×	`rec-exp` `1-exp`
4×	`cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `associate-/l/`

Counts

4 → 797

Calls

4 calls:

2.0ms	(- x (* (/ 1 z) (/ y 3.0)))
8.0ms	(/ y (/ t 3.0))
13.0ms	(* (/ 1 z) (/ y 3.0))
24.0ms	(/ (/ 1 z) (/ y (/ t 3.0)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- x (* (/ 1 z) (/ y 3.0)))
18.0ms	(/ y (/ t 3.0))
16.0ms	(* (/ 1 z) (/ y 3.0))
29.0ms	(/ (/ 1 z) (/ y (/ t 3.0)))

simplify157.0ms

Algorithm

egg-herbie

Counts

809 → 809

Iterations

Useful iterations: 1 (64.0ms)

Iter	Nodes	Cost
0	3999	9799
1	5001	9439

prune2.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes124.0ms

Accuracy

42.5% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 3.5b

bsearch51.0ms

Steps

Iters	Range		Point
8	-2.293871906478064e+41	-3.8517108603272673e+37	-9.40528374369248e+37

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	15
1	32	15

end0.0ms

sample669.0ms

Algorithm

intervals

Results

376.0ms

11162×

body

valid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7