Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

344×

body

valid

simplify55.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 8.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite34.0ms

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:

7.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
7.0ms	(* (* z 2.0) (- 1.0 t))
11.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series226.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
64.0ms	(* (* z 2.0) (- 1.0 t))
67.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
59.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify54.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (45.0ms)

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

prune189.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-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+` `flip3-+` `associate-r` `prod-exp` `flip-+`
3×	`sum-log` `distribute-lft-out` `unswap-sqr`
2×	`+-commutative` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `frac-add` `associate--l+` `cbrt-unprod`
1×	`cbrt-undiv` `associate-+r-` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

3 → 74

Calls

3 calls:

10.0ms	(+ (/ 2.0 z) 2.0)
17.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
13.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series121.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (/ 2.0 z) 2.0)
56.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
37.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	499	587
1	2115	523
2	5001	506

prune169.0ms

Filtered

83 candidates to 60 candidates (72.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

23.0ms	(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
7.0ms	(+ (/ 2.0 z) 2.0)
9.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series118.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
33.0ms	(+ (/ 2.0 z) 2.0)
36.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify69.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	260	423
1	758	394
2	2703	389
3	5001	380

prune122.0ms

Filtered

69 candidates to 46 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0b

Counts

74 → 5

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)))

rewrite45.0ms

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:

8.0ms	(* (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))) (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))))
9.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
10.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
13.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))

series641.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))) (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))))
145.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
148.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
142.0ms	(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (43.0ms)

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

prune418.0ms

Filtered

120 candidates to 94 candidates (78.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	120	5	125

Merged error: 0b

Counts

125 → 5

regimes120.0ms

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	13	6
1	13	6

end0.0ms

sample708.0ms

Algorithm

intervals

Results

430.0ms

10443×

body

valid