Details

Time bar (total: 3.2s)

sample34.0ms

Algorithm
intervals
Results
18.0ms511×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (78.0ms)

IterNodesCost
0216
1526
21716
34016
48296
510906
616106
719566
822526
923675
1023675

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* (* y 4.0) (- t (* z z))))
0.0b
(- t (* z z))
5.5b
(* (* y 4.0) (- t (* z z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*r*
3×expm1-log1p-u sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×flip3-- associate-*r/ flip-- difference-of-squares
1×diff-log associate-*l* *-commutative fma-udef
Counts
3 → 64
Calls
3 calls:
0.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
2.0ms
(- t (* z z))
11.0ms
(* (* y 4.0) (- t (* z z)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
35.0ms
(- t (* z z))
80.0ms
(* (* y 4.0) (- t (* z z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0279440
11253374
25002367

prune174.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
10.2b
(* (* y 4.0) (- (* z z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×associate-*r*
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in associate-*l* *-commutative distribute-rgt-neg-out fma-udef
Counts
2 → 34
Calls
2 calls:
0.0ms
(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
8.0ms
(* (* y 4.0) (- (* z z)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
30.0ms
(* (* y 4.0) (- (* z z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0186266
1964224
25002215

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
0.1b
(* (* (* y 4.0) (- z)) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out associate-*l* *-commutative distribute-rgt-neg-out fma-udef
Counts
2 → 34
Calls
2 calls:
0.0ms
(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
24.0ms
(* (* (* y 4.0) (- z)) z)

series119.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
31.0ms
(* (* (* y 4.0) (- z)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0212279
11093231
25002225

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite11.0ms

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:
8.0ms
(* (cbrt z) (cbrt z))
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series697.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt z) (cbrt z))
172.0ms
(cbrt z)
167.0ms
(cbrt z)
168.0ms
(cbrt z)

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune285.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1278
2368
3368

end0.0ms

sample876.0ms

Algorithm
intervals
Results
498.0ms15616×body80valid