Details

Time bar (total: 3.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms270×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.6b
(/ 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)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (- t z))
121.0ms
(/ x (* (- y z) (- t z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0300403
11371359
25001355

prune158.0ms

Filtered
69 candidates to 51 candidates (73.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.3b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
6.0ms
(/ 1 (- y z))
5.0ms
(/ x (- t z))
37.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series268.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (- y z))
32.0ms
(/ x (- t z))
203.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0518909
12245798
25001758

prune303.0ms

Filtered
159 candidates to 97 candidates (61.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.3b
(/ (/ x (- t z)) (- y z))

rewrite36.0ms

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))

series147.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- t z))
120.0ms
(/ (/ x (- t z)) (- y z))

simplify66.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06361735
123041691
250011691

prune438.0ms

Filtered
191 candidates to 129 candidates (67.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite49.0ms

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)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
43.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series687.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt x)
179.0ms
(cbrt x)
173.0ms
(cbrt x)
144.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05321044
12672853
25002794

prune319.0ms

Filtered
122 candidates to 93 candidates (76.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134
1154
2154

end0.0ms

sample425.0ms

Algorithm
intervals
Results
218.0ms8410×body80valid