Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

265×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.6b	(/ (* y b) t)
6.2b	(/ (* y z) t)
12.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
26×	`times-frac`
24×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `frac-add` `associate-/r/`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 106

Calls

4 calls:

15.0ms	(+ (+ a 1.0) (/ (* y b) t))
3.0ms	(/ (* y b) t)
3.0ms	(/ (* y z) t)
33.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (/ (* y b) t))
19.0ms	(/ (* y b) t)
19.0ms	(/ (* y z) t)
92.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	469	909
1	2102	841
2	5001	841

prune310.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.6b	(/ (* y b) t)
6.7b	(/ y (/ t z))
12.9b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
98×	`times-frac`
59×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`distribute-lft-out`
21×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`flip3-+` `associate-/r/` `flip-+`
4×	`pow1` `frac-add`
3×	`frac-2neg` `clear-num` `sum-log`
2×	`associate-/l/`
1×	`+-commutative` `associate-+l+` `prod-exp` `cbrt-unprod`

Counts

4 → 155

Calls

4 calls:

15.0ms	(+ (+ a 1.0) (/ (* y b) t))
3.0ms	(/ (* y b) t)
5.0ms	(/ y (/ t z))
72.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (+ a 1.0) (/ (* y b) t))
19.0ms	(/ (* y b) t)
18.0ms	(/ y (/ t z))
226.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify71.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	675	1274
1	2875	1201
2	5001	1201

prune453.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 11.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ y (/ t b)))
5.8b	(/ y (/ t b))
6.7b	(/ y (/ t z))
12.9b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

170×	`times-frac`
141×	`*-un-lft-identity`
99×	`add-sqr-sqrt` `add-cube-cbrt`
31×	`associate-/r*`
24×	`distribute-lft-out`
16×	`add-exp-log` `add-cbrt-cube`
11×	`div-inv`
10×	`associate-/l*`
9×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`pow1` `frac-add`
3×	`frac-2neg` `clear-num` `sum-log`
2×	`associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 204

Calls

4 calls:

30.0ms	(+ (+ a 1.0) (/ y (/ t b)))
5.0ms	(/ y (/ t b))
5.0ms	(/ y (/ t z))
97.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

series312.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (/ y (/ t b)))
21.0ms	(/ y (/ t b))
19.0ms	(/ y (/ t z))
245.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

simplify88.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	836	1643
1	3486	1565
2	5001	1565

prune623.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.8b

localize20.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ t b)))
3.5b	(/ (cbrt y) (/ t b))
6.7b	(/ y (/ t z))
12.9b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ t b)))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

366×	`times-frac`
212×	`add-sqr-sqrt`
209×	`*-un-lft-identity`
201×	`add-cube-cbrt`
83×	`cbrt-prod` `associate-r`
37×	`add-exp-log`
29×	`associate-/r*`
25×	`add-cbrt-cube`
21×	`div-inv`
13×	`cbrt-undiv` `div-exp` `associate-/l*`
9×	`pow1` `prod-exp` `cbrt-unprod`
7×	`associate-/r/`
5×	`unswap-sqr`
4×	`distribute-lft-out` `add-log-exp`
3×	`frac-2neg` `flip3-+` `associate-*r/` `pow-prod-down` `clear-num` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`associate-l` `*-commutative`

Counts

4 → 331

Calls

4 calls:

37.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ t b)))
6.0ms	(/ (cbrt y) (/ t b))
5.0ms	(/ y (/ t z))
66.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ t b)))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ t b)))
115.0ms	(/ (cbrt y) (/ t b))
19.0ms	(/ y (/ t z))
268.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ t b)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

343 → 343

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1492	3309
1	5001	2991

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.8b

regimes388.0ms

Accuracy

49.7% (3.4b remaining)

Error of 13.1b against oracle of 9.7b and baseline of 16.5b

bsearch87.0ms

Steps

Iters	Range		Point
0	1.1406573005261748e-29	1.1754375702567523e-29	1.1580474353914635e-29
8	-2.8741141712508995e+67	-9.784479726196899e+63	-8.139287659244859e+65

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	30
1	53	30

end0.0ms

sample676.0ms

Algorithm

intervals

Results

369.0ms

8298×

body

valid