Details

Time bar (total: 2.4s)

sample23.0ms

Algorithm
intervals
Results
13.0ms316×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (23.0ms)

IterNodesCost
0163
1243
2383
3453
4533
5573
6673
73092
821252
950012

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

4.8b
(fma (/ y z) x 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 z) x x)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (/ y z) x x)

simplify162.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune40.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y z) x x))
4.8b
(fma (/ y z) x x)
4.8b
(fma (/ y z) x x)
4.8b
(fma (/ y z) x 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 z) x x))
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)
1.0ms
(fma (/ y z) x x)

series233.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (fma (/ y z) x x))
34.0ms
(fma (/ y z) x x)
29.0ms
(fma (/ y z) x x)
29.0ms
(fma (/ y z) x x)

simplify133.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0102227
1252205
2978202
34867197
45001197

prune163.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
9.6b
(/ (* x (+ y z)) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
14.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series65.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* x (+ y z))
39.0ms
(/ (* x (+ y z)) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0234220
11134191
25001188

prune115.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
4.5b
(/ x (/ z (+ y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 127
Calls
2 calls:
10.0ms
(/ z (+ y z))
10.0ms
(/ x (/ z (+ y z)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ z (+ y z))
48.0ms
(/ x (/ z (+ y z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0420883
11912847
25002841

prune285.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes161.0ms

Accuracy

86.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.0b

bsearch4.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02725
13025
23325
33325

end0.0ms

sample594.0ms

Algorithm
intervals
Results
396.0ms9604×body80valid