Details

Time bar (total: 3.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms267×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.5b
(/ x (* (- y z) (- t z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 85
Calls
2 calls:
22.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- y z) (- t z))
124.0ms
(/ x (* (- y z) (- t z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0384705
11834535
25002528

prune188.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
0.9b
(/ (/ x (- y z)) (- t 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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
5.0ms
(/ x (- y z))
17.0ms
(/ (/ x (- y z)) (- t z))

series156.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ x (- y z))
126.0ms
(/ (/ x (- y z)) (- t z))

simplify70.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06441751
123221707
250011707

prune444.0ms

Filtered
195 candidates to 132 candidates (67.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.0b
(/ 1 (- t z))
1.0b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite55.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 157
Calls
3 calls:
5.0ms
(/ x (- y z))
6.0ms
(/ 1 (- t z))
37.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ x (- y z))
41.0ms
(/ 1 (- t z))
126.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0537934
12214819
25001777

prune331.0ms

Filtered
166 candidates to 102 candidates (61.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 113
Calls
2 calls:
6.0ms
(/ x (- t z))
38.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series253.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (- t z))
219.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0472736
12014646
25001626

prune259.0ms

Filtered
119 candidates to 80 candidates (67.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes145.0ms

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
084

end0.0ms

sample437.0ms

Algorithm
intervals
Results
221.0ms8484×body80valid