Details

Time bar (total: 3.7s)

sample29.0ms

Algorithm
intervals
Results
16.0ms276×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
9.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 74
Calls
3 calls:
3.0ms
(- x (* y z))
2.0ms
(- t (* a z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- x (* y z))
34.0ms
(- t (* a z))
54.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify113.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune250.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
9.0b
(/ (* 1 (- x (* y z))) (- t (* a z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
7×add-log-exp
6×fma-neg prod-diff
4×flip3-- flip--
3×pow1 expm1-log1p-u times-frac div-exp associate-/r* log1p-expm1-u
2×cbrt-undiv sub-neg diff-log associate-*r/ prod-exp associate-/r/ associate-/l/
1×frac-2neg 1-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
3 → 68
Calls
3 calls:
2.0ms
(- x (* y z))
2.0ms
(- t (* a z))
9.0ms
(/ (* 1 (- x (* y z))) (- t (* a z)))

series117.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- x (* y z))
30.0ms
(- t (* a z))
58.0ms
(/ (* 1 (- x (* y z))) (- t (* a z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0320422
11173362
25001356

prune225.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.7b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
8.6b
(/ (- t (* a z)) (- x (* y z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-- div-exp flip-- add-log-exp
6×fma-neg prod-diff div-inv associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num associate-/l/
1×pow-flip div-sub inv-pow
Counts
4 → 160
Calls
4 calls:
2.0ms
(- x (* y z))
2.0ms
(- t (* a z))
9.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
8.0ms
(/ (- t (* a z)) (- x (* y z)))

series320.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- x (* y z))
31.0ms
(- t (* a z))
206.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
55.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05441535
123681380
250031291

prune389.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.3b
(/ 1 (- t (* a z)))
8.8b
(* (/ 1 (- t (* a z))) (- x (* y z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
27×*-un-lft-identity
26×add-cube-cbrt
20×times-frac
17×add-exp-log
15×associate-*l*
12×prod-diff
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- fma-neg flip--
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ log1p-expm1-u
3×associate-*r* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp diff-log 1-exp associate-*r/ cbrt-unprod div-inv
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 128
Calls
4 calls:
2.0ms
(- x (* y z))
3.0ms
(- t (* a z))
4.0ms
(/ 1 (- t (* a z)))
21.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- x (* y z))
31.0ms
(- t (* a z))
52.0ms
(/ 1 (- t (* a z)))
206.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0424888
11826761
25002738

prune319.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.9b

regimes312.0ms

Accuracy

0% (0.4b remaining)

Error of 10.7b against oracle of 10.2b and baseline of 10.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample832.0ms

Algorithm
intervals
Results
542.0ms8732×body80valid