Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

332×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 7.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
7.5b	(/ (* (- y x) z) t)

rewrite48.0ms

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:

9.0ms	(+ x (/ (* (- y x) z) t))
22.0ms	(* (- y x) z)
15.0ms	(/ (* (- y x) z) t)

series97.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (/ (* (- y x) z) t))
27.0ms	(* (- y x) z)
36.0ms	(/ (* (- y x) z) t)

simplify41.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (11.0ms)

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

prune138.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.1b	(* (- y x) (/ z t))

rewrite34.0ms

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:

6.0ms	(+ x (* (- y x) (/ z t)))
26.0ms	(* (- 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))

simplify46.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (40.0ms)

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

prune100.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
8.7b	(/ (- y x) (/ t z))

rewrite62.0ms

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:

35.0ms	(+ x (/ (- y x) (/ t z)))
21.0ms	(/ (- y x) (/ t z))

series72.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (/ (- y x) (/ t z)))
41.0ms	(/ (- y x) (/ t z))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (47.0ms)

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

prune238.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* z y) t) x)
0.0b	(- (+ (/ (* z y) t) x) (/ x (/ t z)))
4.1b	(/ (* z y) t)
6.0b	(/ x (/ t z))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
48×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
6×	`div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/l*`
3×	`difference-of-squares`
2×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `prod-exp` `associate--l+` `associate-/r/` `flip--` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

14.0ms	(+ (/ (* z y) t) x)
107.0ms	(- (+ (/ (* z y) t) x) (/ x (/ t z)))
9.0ms	(/ (* z y) t)
8.0ms	(/ x (/ t z))

series93.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (/ (* z y) t) x)
29.0ms	(- (+ (/ (* z y) t) x) (/ x (/ t z)))
17.0ms	(/ (* z y) t)
19.0ms	(/ x (/ t z))

simplify56.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	569	871
1	2519	835
2	5001	834

prune282.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

-4.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch60.0ms

Steps

Iters	Range		Point
8	2.2412670894539055e-251	7.973714747345739e-247	1.7816371570631576e-248
7	-5.193500810084203e-75	-3.167058764412077e-77	-1.9940252243615597e-76

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

end0.0ms

sample595.0ms

Algorithm

intervals

Results

246.0ms

10647×

body

valid