Details

sample52.0ms

Algorithm

intervals

Results

27.0ms

329×

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

11.0ms	(* (* z 2.0) (- 1.0 t))
15.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series154.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (* z 2.0) (- 1.0 t))
50.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
62.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	415	543
1	1753	476
2	5001	473

prune163.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 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))

rewrite75.0ms

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:

40.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
33.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series92.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
37.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (39.0ms)

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

prune189.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
0.0b	(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.5b	(/ 2.0 (* t z))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

182.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
13.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
3.0ms	(/ 2.0 (* t z))

series128.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
46.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
23.0ms	(/ 2.0 (* t z))

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	364	467
1	1273	436
2	5001	426

prune142.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
0.8b	(cbrt (+ (/ 2.0 z) 2.0))
0.8b	(cbrt (+ (/ 2.0 z) 2.0))
0.8b	(cbrt (+ (/ 2.0 z) 2.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
26×	`add-exp-log`
21×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`frac-times`
15×	`flip3-+` `flip-+`
14×	`add-cube-cbrt`
13×	`associate-l`
12×	`cbrt-prod` `associate-*r/` `prod-exp` `add-cbrt-cube`
11×	`times-frac`
9×	`pow1`
6×	`cbrt-unprod`
5×	`associate-*l/`
4×	`div-exp` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `distribute-lft-out` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

56.0ms	(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
9.0ms	(cbrt (+ (/ 2.0 z) 2.0))
6.0ms	(cbrt (+ (/ 2.0 z) 2.0))
6.0ms	(cbrt (+ (/ 2.0 z) 2.0))

series504.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
99.0ms	(cbrt (+ (/ 2.0 z) 2.0))
101.0ms	(cbrt (+ (/ 2.0 z) 2.0))
103.0ms	(cbrt (+ (/ 2.0 z) 2.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	572	1220
1	2165	1098
2	5002	1023

prune541.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes104.0ms

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	15	7
1	15	7

end0.0ms

sample688.0ms

Algorithm

intervals

Results

415.0ms

10458×

body

valid