Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

349×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	48	4
3	79	4
4	121	4
5	149	4
6	218	4
7	320	4
8	396	4
9	599	4
10	893	4
11	1278	4
12	2173	4
13	3754	4
14	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
7.9b	(/ (* (- y x) z) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

12.0ms	(* (- y x) z)
4.0ms	(+ x (/ (* (- y x) z) t))
6.0ms	(/ (* (- y x) z) t)

series102.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- y x) z)
33.0ms	(+ x (/ (* (- y x) z) t))
40.0ms	(/ (* (- y x) z) t)

simplify34.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	283	314
1	1117	267
2	5001	267

prune156.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
7.2b	(/ (- y x) (/ t z))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

27.0ms	(+ x (/ (- y x) (/ t z)))
11.0ms	(/ (- y x) (/ t z))

series76.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ x (/ (- y x) (/ t z)))
44.0ms	(/ (- y x) (/ t z))

simplify56.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	609	959
1	2199	914
2	5001	913

prune264.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
3.2b	(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ t z) (cbrt (- y x))))
4.2b	(/ (/ t z) (cbrt (- y x)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

647×	`times-frac`
347×	`add-sqr-sqrt` `*-un-lft-identity`
263×	`add-cube-cbrt`
210×	`cbrt-prod`
118×	`associate-/r*`
42×	`distribute-lft-out--` `difference-of-squares`
30×	`add-exp-log`
29×	`div-inv`
22×	`cbrt-div`
18×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
14×	`associate-/l*`
11×	`flip3--` `flip--`
9×	`associate-/l/`
7×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`frac-2neg` `pow1/3` `associate-r/` `associate-l/` `clear-num`

Counts

4 → 424

Calls

4 calls:

2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
32.0ms	(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ t z) (cbrt (- y x))))
13.0ms	(/ (/ t z) (cbrt (- y x)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (- y x))
141.0ms	(cbrt (- y x))
41.0ms	(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ t z) (cbrt (- y x))))
102.0ms	(/ (/ t z) (cbrt (- y x)))

simplify74.0ms

Algorithm

egg-herbie

Counts

436 → 436

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1560	5627
1	5001	5507

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.1b	(* (- y x) (/ z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

2.0ms	(+ x (* (- y x) (/ z t)))
15.0ms	(* (- y x) (/ z t))

series73.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* (- y x) (/ z t)))
40.0ms	(* (- y x) (/ z t))

simplify39.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune112.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

4.8% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.9b

bsearch37.0ms

Steps

Iters	Range		Point
9	1.001708202431954e-79	3.6106127752583374e-71	5.1783536289534414e-76

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample555.0ms

Algorithm

intervals

Results

289.0ms

10775×

body

valid