Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

342×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

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)))
10.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite42.0ms

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:

15.0ms	(* (* z 2.0) (- 1.0 t))
16.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series151.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (* z 2.0) (- 1.0 t))
49.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
59.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify49.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (42.0ms)

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

prune159.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

5 alts after pruning (5 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))
0.3b	(* (/ 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:

44.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
36.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series91.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
39.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (40.0ms)

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

prune156.0ms

Filtered

68 candidates to 50 candidates (73.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))) (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))))
0.6b	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
0.6b	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
0.6b	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

75×	`cbrt-div`
55×	`frac-times`
35×	`associate-*r/`
30×	`flip3-+` `flip-+`
20×	`associate-*l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

12.0ms	(* (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))) (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))))
10.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
10.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
11.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))

series606.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))) (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))))
135.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
141.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
131.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	522	1876
1	1950	1784
2	5002	1666

prune457.0ms

Filtered

120 candidates to 94 candidates (78.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 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))
7.8b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

13.0ms	(* (* z 2.0) (- 1.0 t))
39.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
12.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
12.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

series209.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* z 2.0) (- 1.0 t))
49.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
63.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
55.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

simplify64.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	648	1506
1	2536	1409
2	5001	1409

prune387.0ms

Filtered

151 candidates to 115 candidates (76.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes126.0ms

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	18	7
1	18	7

end0.0ms

sample692.0ms

Algorithm

intervals

Results

426.0ms

10419×

body

valid