Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

328×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	47	8
2	96	8
3	165	8
4	241	8
5	390	8
6	1193	8
7	5002	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

16.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series119.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
66.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify38.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	283	409
1	1039	362
2	5001	359

prune113.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.2b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`associate-l`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-+r+` `associate-r` `prod-exp`
3×	`flip3-+` `flip-+` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `frac-add` `associate--l+` `sum-log` `cbrt-unprod` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

2 → 62

Calls

2 calls:

43.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
35.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series96.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
41.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	489	525
1	2096	469
2	5001	452

prune164.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (- (pow (/ (+ (/ 2.0 z) 2.0) t) 1) 2.0))
0.1b	(/ (+ (/ 2.0 z) 2.0) t)

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-log-exp`
6×	`distribute-lft-out`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`pow1` `associate-+r+` `flip3-+` `frac-add` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

2 → 52

Calls

2 calls:

280.0ms	(+ (/ x y) (- (pow (/ (+ (/ 2.0 z) 2.0) t) 1) 2.0))
25.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series89.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (/ x y) (- (pow (/ (+ (/ 2.0 z) 2.0) t) 1) 2.0))
41.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify106.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	313	455
1	1011	423
2	3959	411
3	5002	411

prune148.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
8.6b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
9.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
59×	`*-un-lft-identity`
53×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `associate-/l/`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `distribute-lft-out`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 113

Calls

3 calls:

37.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
13.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
13.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

series177.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
67.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
62.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	516	1373
1	1826	1295
2	5001	1292

prune329.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample678.0ms

Algorithm

intervals

Results

410.0ms

10450×

body

valid