Details

Time bar (total: 3.8s)

sample31.0ms

Algorithm
intervals
Results
18.0ms396×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0144
1303
2863
32903
48033
514513
634573
750013

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (- t x) (- y 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 (- t x) (- y z) x)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(fma (- t x) (- y z) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
04963
111455
234655
3157054
4500354

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x z (- (fma t z (* x y))))

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:
1.0ms
(fma x z (- (fma t z (* x y))))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(fma x z (- (fma t z (* x y))))

simplify53.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
03369
17760
225360
3133660
4500160

prune38.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- t x) (- y z) x)
0.0b
(sqrt (fma (- t x) (- y z) x))
0.0b
(sqrt (fma (- t x) (- y z) x))
0.2b
(* (sqrt (fma (- t x) (- y z) x)) (sqrt (fma (- t x) (- y z) x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (- t x) (- y z) x)
1.0ms
(sqrt (fma (- t x) (- y z) x))
1.0ms
(sqrt (fma (- t x) (- y z) x))
7.0ms
(* (sqrt (fma (- t x) (- y z) x)) (sqrt (fma (- t x) (- y z) x)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(fma (- t x) (- y z) x)
208.0ms
(sqrt (fma (- t x) (- y z) x))
213.0ms
(sqrt (fma (- t x) (- y z) x))
45.0ms
(* (sqrt (fma (- t x) (- y z) x)) (sqrt (fma (- t x) (- y z) x)))

simplify171.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (157.0ms)

IterNodesCost
0219623
1772545
24347519
35001509

prune211.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (fma (- t x) (- y z) x)))
0.1b
(sqrt (sqrt (fma (- t x) (- y z) x)))
0.2b
(* (pow (sqrt (sqrt (fma (- t x) (- y z) x))) 3) (sqrt (sqrt (fma (- t x) (- y z) x))))
0.4b
(pow (sqrt (sqrt (fma (- t x) (- y z) x))) 3)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
107×sqrt-prod
74×add-sqr-sqrt
27×unpow-prod-down cube-prod
25×add-cube-cbrt *-un-lft-identity
24×associate-*l* unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log
9×associate-*r*
7×add-cbrt-cube
6×pow1/2
5×pow-pow sqr-pow
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 157
Calls
4 calls:
2.0ms
(sqrt (sqrt (fma (- t x) (- y z) x)))
1.0ms
(sqrt (sqrt (fma (- t x) (- y z) x)))
23.0ms
(* (pow (sqrt (sqrt (fma (- t x) (- y z) x))) 3) (sqrt (sqrt (fma (- t x) (- y z) x))))
3.0ms
(pow (sqrt (sqrt (fma (- t x) (- y z) x))) 3)

series1.2s

Counts
4 → 12
Calls
4 calls:
299.0ms
(sqrt (sqrt (fma (- t x) (- y z) x)))
305.0ms
(sqrt (sqrt (fma (- t x) (- y z) x)))
47.0ms
(* (pow (sqrt (sqrt (fma (- t x) (- y z) x))) 3) (sqrt (sqrt (fma (- t x) (- y z) x))))
531.0ms
(pow (sqrt (sqrt (fma (- t x) (- y z) x))) 3)

simplify71.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
03681684
115711378
250011188

prune332.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073

end0.0ms

sample773.0ms

Algorithm
intervals
Results
474.0ms12238×body80valid