Details

Time bar (total: 3.7s)

sample33.0ms

Algorithm
intervals
Results
8.0ms274×body80valid
6.0ms242×body80nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1514
2864
31264
41514
51694
61854
71874
81874

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt z) y 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 (sqrt z) y x)

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(fma (sqrt z) y x)

simplify62.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (60.0ms)

IterNodesCost
07058
117650
252850
3181346
4500143

prune45.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (sqrt z) y) x)
0.2b
(* (sqrt z) y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u log1p-expm1-u unswap-sqr
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
9.0ms
(+ (* (sqrt z) y) x)
10.0ms
(* (sqrt z) y)

series102.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (* (sqrt z) y) x)
48.0ms
(* (sqrt z) y)

simplify103.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0240208
1811185
23399179
35001176

prune108.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* (sqrt (sqrt z)) y)
0.3b
(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*l*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×expm1-log1p-u rem-sqrt-square pow1/2 associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 96
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
4.0ms
(sqrt (sqrt z))
14.0ms
(* (sqrt (sqrt z)) y)
34.0ms
(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

series420.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(sqrt (sqrt z))
134.0ms
(sqrt (sqrt z))
107.0ms
(* (sqrt (sqrt z)) y)
45.0ms
(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0333538
11206473
25001456

prune266.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series732.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt z) (cbrt z))
181.0ms
(cbrt z)
182.0ms
(cbrt z)
172.0ms
(cbrt z)

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune394.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample994.0ms

Algorithm
intervals
Results
250.0ms8540×body80valid
235.0ms8583×body80nan