Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

269×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
10.0b	(/ (* y (- z t)) (- z a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

10.0ms	(+ x (/ (* y (- z t)) (- z a)))
9.0ms	(/ (* y (- z t)) (- z a))

series137.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ x (/ (* y (- z t)) (- z a)))
64.0ms	(/ (* y (- z t)) (- z a))

simplify31.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	277	283
1	1051	254
2	5001	254

prune125.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
3.4b	(/ y (/ (- z a) (- z t)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

43.0ms	(+ x (/ y (/ (- z a) (- z t))))
15.0ms	(/ (- z a) (- z t))
18.0ms	(/ y (/ (- z a) (- z t)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (/ y (/ (- z a) (- z t))))
40.0ms	(/ (- z a) (- z t))
110.0ms	(/ y (/ (- z a) (- z t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	702	1885
1	3069	1832
2	5002	1829

prune475.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- z t))
0.0b	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
3.4b	(/ y (- (/ z (- z t)) (/ a (- z t))))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
141×	`times-frac`
116×	`add-sqr-sqrt`
52×	`distribute-lft-out--`
44×	`add-cube-cbrt`
28×	`difference-of-squares`
23×	`associate-/r*`
22×	`associate-/r/`
12×	`distribute-rgt-out--`
10×	`flip3--` `flip--` `div-inv`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `sub-div`

Counts

3 → 140

Calls

3 calls:

5.0ms	(/ z (- z t))
123.0ms	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
73.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

series227.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ z (- z t))
86.0ms	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
97.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

simplify50.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	497	1309
1	1763	1275
2	5001	1272

prune359.0ms

Filtered

149 candidates to 107 candidates (71.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
3.2b	(* y (/ (- z t) (- z a)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- z a))))
10.0ms	(/ (- z t) (- z a))
27.0ms	(* y (/ (- z t) (- z a)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* y (/ (- z t) (- z a))))
45.0ms	(/ (- z t) (- z a))
60.0ms	(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune261.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes153.0ms

Accuracy

61.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.3b

bsearch90.0ms

Steps

Iters	Range		Point
10	2.3625882242014287e-54	5.3303289756926204e-42	1.206188803139436e-53
9	-7.360827282483612e+49	-2.6236126645961445e+43	-2.6702121452755603e+43

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	18
1	33	18

end0.0ms

sample527.0ms

Algorithm

intervals

Results

274.0ms	8699×	body	80	valid
0.0ms	2×	body	1280	valid