Details

Time bar (total: 4.9s)

sample33.0ms

Algorithm
intervals
Results
22.0ms279×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1405
2805
31745
43695
55035
67695
711915
814515
916065
1016065

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
5.7b
(/ x (* (- y z) (- y t)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
17.0ms
(* (- y z) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- y z) (- y t))
67.0ms
(/ x (* (- y z) (- y t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0304403
11399360
25002360

prune191.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.3b
(/ 1 (/ (* (- y z) (- y t)) x))
5.7b
(/ (* (- y z) (- y t)) x)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
23×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×flip3-- flip--
10×associate-/r*
8×frac-times associate-/l/
7×cbrt-undiv
6×pow1 div-inv
5×associate-*r* associate-*l* prod-exp
4×associate-*r/ associate-*l/ associate-/l*
3×rec-exp 1-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out-- difference-of-squares
1×pow-flip pow-prod-down associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 119
Calls
3 calls:
17.0ms
(* (- y z) (- y t))
12.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
10.0ms
(/ (* (- y z) (- y t)) x)

series225.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (- y z) (- y t))
139.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
54.0ms
(/ (* (- y z) (- y t)) x)

simplify80.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0530854
12893750
25001713

prune275.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y z))
1.6b
(/ (/ 1 (- y z)) (/ (- y t) x))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
1044×times-frac
650×add-sqr-sqrt *-un-lft-identity
390×add-cube-cbrt
130×distribute-lft-out-- difference-of-squares
44×div-inv
43×associate-/r/
28×add-exp-log
24×associate-/r* associate-/l*
21×flip3-- flip--
18×div-exp
16×add-cbrt-cube
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 504
Calls
2 calls:
6.0ms
(/ 1 (- y z))
25.0ms
(/ (/ 1 (- y z)) (/ (- y t) x))

series183.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 1 (- y z))
143.0ms
(/ (/ 1 (- y z)) (/ (- y t) x))

simplify111.0ms

Algorithm
egg-herbie
Counts
510 → 510
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
020826800
150026495

prune997.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
5.7b
(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
168×cbrt-div
136×frac-times
111×flip3-- flip--
80×associate-/r/
44×associate-*r/ associate-*l/
22×add-exp-log
16×add-cbrt-cube
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt
8×prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×pow1 add-log-exp
3×times-frac pow1/3 associate-/l* distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 152
Calls
4 calls:
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
51.0ms
(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (- y z))
170.0ms
(cbrt (- y z))
207.0ms
(cbrt (- y z))
62.0ms
(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

simplify89.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
09312060
131761890
250021849

prune602.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample818.0ms

Algorithm
intervals
Results
593.0ms8488×body80valid