Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

277×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.2b	(* y (/ (- z t) (- z a)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

11.0ms	(/ (- z t) (- z a))
24.0ms	(* y (/ (- z t) (- z a)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- z t) (- z a))
63.0ms	(* y (/ (- z t) (- z a)))

simplify39.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	351	647
1	1392	606
2	5002	606

prune246.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- z a))
0.0b	(/ t (- z a))
0.0b	(- (/ z (- z a)) (/ t (- z a)))
1.2b	(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

5.0ms	(/ z (- z a))
5.0ms	(/ t (- z a))
52.0ms	(- (/ z (- z a)) (/ t (- z a)))
155.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ z (- z a))
28.0ms	(/ t (- z a))
114.0ms	(- (/ z (- z a)) (/ t (- z a)))
132.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

simplify50.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	429	888
1	1588	838
2	5002	838

prune404.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
7.8b	(* (/ y (- z a)) (- z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

7.0ms	(/ y (- z a))
24.0ms	(* (/ y (- z a)) (- z t))

series140.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ y (- z a))
112.0ms	(* (/ y (- z a)) (- z t))

simplify41.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	341	497
1	1399	459
2	5001	459

prune238.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
2.6b	(* (* (/ y (- z a)) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.5b	(* (/ y (- z a)) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
69×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
32×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
22×	`associate-l`
21×	`add-cbrt-cube`
18×	`pow1`
17×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
16×	`times-frac`
15×	`cbrt-prod`
9×	`associate-r` `pow-prod-down`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`pow1/3` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 172

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
116.0ms	(* (* (/ y (- z a)) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
40.0ms	(* (/ y (- z a)) (* (cbrt (- z t)) (cbrt (- z t))))

series548.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (- z t))
152.0ms	(cbrt (- z t))
116.0ms	(* (* (/ y (- z a)) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
126.0ms	(* (/ y (- z a)) (* (cbrt (- z t)) (cbrt (- z t))))

simplify77.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	775	2471
1	2428	2234
2	5001	2178

prune510.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample515.0ms

Algorithm

intervals

Results

260.0ms	8737×	body	80	valid
0.0ms	1×	body	320	valid