Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

279×

body

valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	46	4
2	88	4
3	138	4
4	188	4
5	236	4
6	260	4
7	263	4
8	263	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
33×	`times-frac`
32×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
4×	`pow1`
3×	`associate-l` `associate-/l*`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 96

Calls

2 calls:

11.0ms	(* z (- y t))
6.0ms	(/ x (/ (* z (- y t)) 2.0))

series79.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	433	735
1	1861	559
2	5001	556

prune187.0ms

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)))

rewrite50.0ms

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×	`expm1-log1p-u` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 116

Calls

1 calls:

43.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify80.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	760	915
1	3641	775
2	5001	768

prune249.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)

rewrite47.0ms

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` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`

Counts

4 → 323

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
25.0ms	(/ (/ (cbrt x) (/ (* (cbrt (- y t)) (cbrt (- y t))) (cbrt x))) z)

series897.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
179.0ms	(cbrt x)
182.0ms	(cbrt x)
356.0ms	(/ (/ (cbrt x) (/ (* (cbrt (- y t)) (cbrt (- y t))) (cbrt x))) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1303	5134
1	5001	4995

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))))

rewrite226.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 332

Calls

4 calls:

2.0ms	(cbrt (- y t))
2.0ms	(cbrt (- y t))
2.0ms	(cbrt (- y t))
192.0ms	(* (/ (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) z) (/ x (/ (cbrt (- y t)) (sqrt 2.0))))

series993.0ms

Counts

4 → 12

Calls

4 calls:

350.0ms	(cbrt (- y t))
152.0ms	(cbrt (- y t))
145.0ms	(cbrt (- y t))
345.0ms	(* (/ (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) z) (/ x (/ (cbrt (- y t)) (sqrt 2.0))))

simplify77.0ms

Algorithm

egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1853	5452
1	5001	5119

prune963.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (1.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	16
1	16	16

end0.0ms

sample461.0ms

Algorithm

intervals

Results

250.0ms

8748×

body

valid