Details

Time bar (total: 3.0s)

sample11.0ms

Algorithm
intervals
Results
5.0ms257×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1193
2213
3233
4253
5263
6263

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

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 (/ 841.0 108.0) x (/ 4.0 29.0))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03053
15446
216146
360746
4268746
5500346

prune28.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×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×fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
13.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series133.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
29.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
34.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
32.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify168.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0177525
1655457
24084433
35001433

prune173.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.2b
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.2b
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.2b
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
44×add-sqr-sqrt
29×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
15.0ms
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
1.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
1.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
2.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series445.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
112.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
109.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
112.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03781658
113621561
250011407

prune324.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.6b
(cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.6b
(* (cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (sqrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
0.6b
(* (cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (sqrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-prod
98×add-sqr-sqrt
92×cbrt-prod
32×unswap-sqr
26×add-cube-cbrt *-un-lft-identity
24×associate-*r* associate-*l*
8×pow1 add-exp-log
6×add-cbrt-cube
4×expm1-log1p-u swap-sqr log1p-expm1-u add-log-exp
2×pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
2.0ms
(cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
2.0ms
(cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
24.0ms
(* (cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (sqrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
21.0ms
(* (cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (sqrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))

series512.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
124.0ms
(cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
110.0ms
(* (cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (sqrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
112.0ms
(* (cbrt (sqrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (sqrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))

simplify76.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04082794
114012694
250022598

prune507.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083

end0.0ms

sample261.0ms

Algorithm
intervals
Results
150.0ms8010×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid