Details

Time bar (total: 1.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms308×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (12.0ms)

IterNodesCost
0163
1243
2383
3453
4533
5573
6673
73092
821252
950012

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

3.4b
(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)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(fma (/ y z) x x)

simplify140.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune34.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ y z) x x))
3.4b
(fma (/ y z) x x)
3.4b
(fma (/ y z) x x)
3.4b
(fma (/ y z) x x)

rewrite2.0ms

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:
0.0ms
(cbrt (fma (/ y z) x x))
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)

series202.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (fma (/ y z) x x))
26.0ms
(fma (/ y z) x x)
28.0ms
(fma (/ y z) x x)
26.0ms
(fma (/ y z) x x)

simplify114.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0102227
1252205
2978202
34867197
45001197

prune144.0ms

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))
11.0b
(/ (* x (+ y z)) z)

rewrite17.0ms

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:
10.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series63.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* x (+ y z))
35.0ms
(/ (* x (+ y z)) z)

simplify38.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0234220
11134191
25001188

prune95.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.4b
(/ x (/ z (+ y z)))

rewrite21.0ms

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:
5.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ z (+ y z))
43.0ms
(/ x (/ z (+ y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0420883
11912847
25002841

prune254.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes140.0ms

Accuracy

80.1% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02524
12824
23417
33717
44317
55417
66117
76217
86217

end0.0ms

sample402.0ms

Algorithm
intervals
Results
211.0ms9603×body80valid