Details

sample30.0ms

Algorithm

intervals

Results

15.0ms

340×

body

valid

simplify54.0ms

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: 9.9b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

16.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
3.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
12.0ms	(* (* z 2.0) (- 1.0 t))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series193.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
30.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
48.0ms	(* (* z 2.0) (- 1.0 t))
64.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify52.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	444	646
1	1848	578
2	5002	571

prune220.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

39.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
38.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series127.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
30.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
40.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	499	648
1	2111	584
2	5001	567

prune214.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out` `associate-/l*` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 48

Calls

2 calls:

6.0ms	(- 2.0 (/ x y))
27.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series51.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(- 2.0 (/ x y))
36.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	218	299
1	607	280
2	1957	277
3	5002	273

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
0.6b	(cbrt (/ 1 t))
0.6b	(cbrt (/ 1 t))
0.6b	(cbrt (/ 1 t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

18.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
1.0ms	(cbrt (/ 1 t))
2.0ms	(cbrt (/ 1 t))
2.0ms	(cbrt (/ 1 t))

series850.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
177.0ms	(cbrt (/ 1 t))
171.0ms	(cbrt (/ 1 t))
310.0ms	(cbrt (/ 1 t))

simplify44.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	219	1142
1	897	1034
2	5002	874

prune398.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	19	6
2	19	6

end0.0ms

sample680.0ms

Algorithm

intervals

Results

412.0ms

10440×

body

valid