Details

Time bar (total: 3.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms270×body80valid

simplify62.0ms

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: 8.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.2b
(/ x (* (- y z) (- t z)))

rewrite30.0ms

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:
20.0ms
(* (- y z) (- t z))
7.0ms
(/ x (* (- y z) (- t z)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
121.0ms
(/ x (* (- y z) (- t z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0300403
11371359
25001355

prune352.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.2b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
52×*-un-lft-identity times-frac
30×add-cube-cbrt
26×add-exp-log
21×associate-*r* associate-*l*
16×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×div-exp
8×prod-exp
6×associate-/r/ unswap-sqr
5×cbrt-undiv associate-/r*
4×pow1 cbrt-unprod
3×flip3-- flip-- div-inv associate-/l*
2×rec-exp 1-exp add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
5.0ms
(/ x (- t z))
33.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series230.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- t z))
203.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0465719
12000629
25001609

prune235.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.1b
(/ (/ x (- t z)) (- y z))

rewrite33.0ms

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))
17.0ms
(/ (/ x (- t z)) (- y z))

series151.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- t z))
124.0ms
(/ (/ x (- t z)) (- y z))

simplify63.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06361735
123041691
250011691

prune473.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series706.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt x) (cbrt x))
166.0ms
(cbrt x)
174.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune273.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample459.0ms

Algorithm
intervals
Results
232.0ms8435×body80valid