Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

279×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	4
1	44	4
2	82	4
3	132	4
4	175	4
5	208	4
6	221	4
7	221	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
5.8b	(/ x (/ (* z (- y t)) 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

7.0ms	(* z (- y t))
8.0ms	(/ x (/ (* z (- y t)) 2.0))

series80.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* z (- y t))
46.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	353	467
1	1535	417
2	5001	414

prune175.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

4.9b	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
103×	`add-sqr-sqrt`
76×	`*-un-lft-identity`
62×	`associate-r`
55×	`add-cube-cbrt`
40×	`add-exp-log`
22×	`add-cbrt-cube`
18×	`div-exp`
13×	`associate-l`
12×	`prod-exp`
9×	`cbrt-undiv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
6×	`cbrt-unprod`
5×	`div-inv`
3×	`pow1` `rec-exp` `1-exp`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `*-commutative` `add-log-exp`

Counts

1 → 114

Calls

1 calls:

28.0ms

(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	758	903
1	3639	763
2	5001	756

prune252.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.8b	(/ (/ (cbrt x) (/ (* (cbrt (- y t)) (cbrt (- y t))) (cbrt x))) z)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

579×	`times-frac`
229×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
201×	`cbrt-prod`
65×	`associate-/l*`
29×	`div-inv`
18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/r/` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`

Counts

4 → 315

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
23.0ms	(/ (/ (cbrt x) (/ (* (cbrt (- y t)) (cbrt (- y t))) (cbrt x))) z)

series889.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt x)
180.0ms	(cbrt x)
172.0ms	(cbrt x)
348.0ms	(/ (/ (cbrt x) (/ (* (cbrt (- y t)) (cbrt (- y t))) (cbrt x))) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

327 → 327

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1296	5100
1	5001	4961

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y t))
0.5b	(cbrt (- y t))
0.5b	(cbrt (- y t))
3.9b	(* (/ (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) z) (/ x (/ (cbrt (- y t)) (sqrt 2.0))))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

438×	`times-frac`
319×	`add-sqr-sqrt`
217×	`*-un-lft-identity`
175×	`add-cube-cbrt`
161×	`associate-r`
113×	`cbrt-prod`
95×	`sqrt-prod`
58×	`add-exp-log` `associate-l`
48×	`add-cbrt-cube`
42×	`cbrt-div`
27×	`cbrt-undiv` `div-exp`
25×	`associate-/r/`
24×	`unswap-sqr`
21×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
15×	`prod-exp` `cbrt-unprod`
13×	`frac-times`
8×	`div-inv`
7×	`associate-r/` `associate-l/`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 324

Calls

4 calls:

3.0ms	(cbrt (- y t))
3.0ms	(cbrt (- y t))
3.0ms	(cbrt (- y t))
146.0ms	(* (/ (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) z) (/ x (/ (cbrt (- y t)) (sqrt 2.0))))

series816.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- y t))
149.0ms	(cbrt (- y t))
154.0ms	(cbrt (- y t))
366.0ms	(* (/ (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) z) (/ x (/ (cbrt (- y t)) (sqrt 2.0))))

simplify88.0ms

Algorithm

egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1845	5404
1	5002	5071

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	16
1	16	16

end0.0ms

sample481.0ms

Algorithm

intervals

Results

261.0ms

8748×

body

valid