Details

sample31.0ms

Algorithm

intervals

Results

18.0ms

278×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.0b	(fma y (/ (- z t) (- z a)) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

13.0ms	(/ (- z t) (- z a))
0.0ms	(fma y (/ (- z t) (- z a)) x)

series121.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- z t) (- z a))
76.0ms	(fma y (/ (- z t) (- z a)) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	260	433
1	705	410
2	2411	410
3	5001	410

prune206.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.3b	(* y (/ (- z t) (- z a)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`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×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
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 → 122

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
13.0ms	(/ (- z t) (- z a))
28.0ms	(* y (/ (- z t) (- z a)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ x (* y (/ (- z t) (- z a))))
45.0ms	(/ (- z t) (- z a))
72.0ms	(* y (/ (- z t) (- z a)))

simplify55.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	435	776
1	1703	730
2	5001	730

prune339.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

51.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
6.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))

series536.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
135.0ms	(cbrt (/ (- z t) (- z a)))
139.0ms	(cbrt (/ (- z t) (- z a)))
136.0ms	(cbrt (/ (- z t) (- z a)))

simplify64.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	309	1516
1	668	1443
2	1699	1433
3	5001	1413

prune544.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
2.0b	(fma y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (- z a))
2.0ms	(cbrt (- z a))
2.0ms	(cbrt (- z a))
0.0ms	(fma y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))) x)

series575.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (- z a))
160.0ms	(cbrt (- z a))
166.0ms	(cbrt (- z a))
80.0ms	(fma y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	199	593
1	473	541
2	1477	523
3	5002	488

prune325.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes374.0ms

Accuracy

57.6% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.3b

bsearch101.0ms

Steps

Iters	Range		Point
9	2.7413777313647e-155	3.6329735733827265e-148	2.537123193236992e-149
8	-1.2125214204419057e-47	-3.9119065816224897e-50	-7.907887156258255e-48

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	11
1	31	11

end0.0ms

sample799.0ms

Algorithm

intervals

Results

517.0ms	8744×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid