Details

Time bar (total: 2.8s)

sample30.0ms

Algorithm
intervals
Results
12.0ms353×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (31.0ms)

IterNodesCost
0164
1324
2714
31604
42744
54624
67274
78913
810833
912163
1012693
1112693

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

2.2b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y a) (- t z) x)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(fma (/ y a) (- t z) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
04169
19462
227253
3130853
4500153

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y a) (- t z) x))
2.2b
(fma (/ y a) (- t z) x)
2.2b
(fma (/ y a) (- t z) x)
2.2b
(fma (/ y a) (- t z) x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y a) (- t z) x))
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)

series331.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt (fma (/ y a) (- t z) x))
44.0ms
(fma (/ y a) (- t z) x)
44.0ms
(fma (/ y a) (- t z) x)
47.0ms
(fma (/ y a) (- t z) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0117320
1285290
21046260
35002255

prune179.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b
(fma (/ y a) (- t z) x)
2.2b
(fma (/ y a) (- t z) x)
2.2b
(fma (/ y a) (- t z) x)
2.2b
(fma (/ y a) (- t z) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)

series182.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(fma (/ y a) (- t z) x)
44.0ms
(fma (/ y a) (- t z) x)
44.0ms
(fma (/ y a) (- t z) x)
47.0ms
(fma (/ y a) (- t z) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
041276
194248
2272212
31308212
45001212

prune198.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.3b
(/ (* y (- z t)) a)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/ div-inv
3×expm1-log1p-u sub-neg flip3-- fma-neg associate-*l* associate-/r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
11.0ms
(- x (/ (* y (- z t)) a))
26.0ms
(* y (- z t))
22.0ms
(/ (* y (- z t)) a)

series136.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- x (/ (* y (- z t)) a))
39.0ms
(* y (- z t))
48.0ms
(/ (* y (- z t)) a)

simplify78.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05051133
12195751
25001747

prune218.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

82.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02716
12716

end0.0ms

sample714.0ms

Algorithm
intervals
Results
286.0ms10674×body80valid