Details

Time bar (total: 3.7s)

sample18.0ms

Algorithm
intervals
Results
6.0ms266×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.5b
(/ x (* (- y z) (- t z)))

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

series150.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- y z) (- t z))
117.0ms
(/ x (* (- y z) (- t z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0300403
11371359
25001355

prune166.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
45.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series689.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt x)
172.0ms
(cbrt x)
188.0ms
(cbrt x)
141.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05321044
12672853
25002794

prune310.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.8b
(/ (/ x (- t z)) (- y z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- t z))
16.0ms
(/ (/ x (- t z)) (- y z))

series147.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (- t z))
116.0ms
(/ (/ x (- t z)) (- y z))

simplify58.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
06361735
123041691
250011691

prune386.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.8b
(/ (pow (/ x (- t z)) 1) (- y z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
230×times-frac
194×add-sqr-sqrt *-un-lft-identity
126×unpow-prod-down
98×add-cube-cbrt
48×distribute-lft-out-- difference-of-squares
28×associate-/l*
16×associate-/r/
12×add-exp-log
10×associate-/r*
8×flip3-- flip-- div-inv
6×div-exp add-cbrt-cube sqr-pow
2×pow1 cbrt-undiv frac-2neg pow-exp clear-num add-log-exp
1×pow-to-exp
Counts
2 → 209
Calls
2 calls:
5.0ms
(/ x (- t z))
29.0ms
(/ (pow (/ x (- t z)) 1) (- y z))

series151.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ x (- t z))
123.0ms
(/ (pow (/ x (- t z)) 1) (- y z))

simplify256.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06172159
124391934
250011931

prune437.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes136.0ms

Accuracy

63.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02515
12515

end0.0ms

sample427.0ms

Algorithm
intervals
Results
212.0ms8478×body80valid