Details

Time bar (total: 5.5s)

sample36.0ms

Algorithm
intervals
Results
23.0ms337×body80valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0144
1254
2483
3963
41533
52033
62473
74013
86803
911333
1018663
1132913
1247453
1350013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.9b
(fma (/ y t) (- 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 t) (- z x) x)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(fma (/ y t) (- z x) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04069
19362
227053
3130053
4500153

prune34.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y t) (- z x)) x)
7.2b
(* (/ y t) (- z x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
10.0ms
(+ (* (/ y t) (- z x)) x)
21.0ms
(* (/ y t) (- z x))

series90.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* (/ y t) (- z x)) x)
57.0ms
(* (/ y t) (- z x))

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0468779
11870547
25001533

prune236.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.7b
(fma (fma (- x) 1 x) (/ y t) x)
7.2b
(* (fma (* (cbrt z) (cbrt z)) (cbrt z) (- (* x 1))) (/ y t))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1 cbrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l*
2×pow1/3 prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative fma-udef div-inv
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt z)
0.0ms
(cbrt z)
0.0ms
(fma (fma (- x) 1 x) (/ y t) x)
8.0ms
(* (fma (* (cbrt z) (cbrt z)) (cbrt z) (- (* x 1))) (/ y t))

series560.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt z)
175.0ms
(cbrt z)
40.0ms
(fma (fma (- x) 1 x) (/ y t) x)
164.0ms
(* (fma (* (cbrt z) (cbrt z)) (cbrt z) (- (* x 1))) (/ y t))

simplify38.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0244592
1935487
25001437

prune312.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt z) 3)
1.7b
(* (/ y t) (fma (- x) 1 x))
4.5b
(/ (pow (cbrt z) 3) (/ t y))
4.9b
(* (/ y t) x)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
425×times-frac
238×add-sqr-sqrt
228×add-cube-cbrt *-un-lft-identity
90×cbrt-prod unpow-prod-down cube-prod
28×add-exp-log
26×associate-*l*
22×div-inv
19×add-cbrt-cube
18×associate-/l*
15×cube-mult unpow3 sqr-pow
13×associate-/r*
11×div-exp
9×pow1
6×associate-*r*
5×cbrt-undiv
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×pow-to-exp pow-unpow pow-exp
2×pow-pow pow-prod-down associate-*l/ *-commutative fma-udef
1×distribute-rgt-in frac-2neg distribute-lft-in pow1/3 clear-num associate-/r/ rem-cube-cbrt
Counts
4 → 388
Calls
4 calls:
2.0ms
(pow (cbrt z) 3)
8.0ms
(* (/ y t) (fma (- x) 1 x))
14.0ms
(/ (pow (cbrt z) 3) (/ t y))
12.0ms
(* (/ y t) x)

series1.7s

Counts
4 → 12
Calls
4 calls:
221.0ms
(pow (cbrt z) 3)
1.4s
(* (/ y t) (fma (- x) 1 x))
43.0ms
(/ (pow (cbrt z) 3) (/ t y))
26.0ms
(* (/ y t) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
400 → 400
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010842928
150022713

prune801.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes135.0ms

Accuracy

-14.9% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.0b

bsearch103.0ms

Steps
ItersRangePoint
7
8.000311976190824e+287
4.0270401493839685e+289
3.657760301222232e+289
8
7.762982036890111e-149
2.7802313010617128e-146
2.747371276931201e-146

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03721
14621
24621

end0.0ms

sample1.0s

Algorithm
intervals
Results
742.0ms10693×body80valid