Details

Time bar (total: 6.8s)

sample51.0ms

Algorithm
intervals
Results
31.0ms522×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (80.0ms)

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* y 4.0) (- t (* z z))))
8.1b
(* (* y 4.0) (- t (* z z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
4×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- associate-*l* *-commutative flip-- fma-udef difference-of-squares
Counts
2 → 43
Calls
2 calls:
0.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
12.0ms
(* (* y 4.0) (- t (* z z)))

series45.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
19.0ms
(* (* y 4.0) (- t (* z z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0252340
11165287
25002282

prune312.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
8.1b
(* (* y 4.0) (- t (* z z)))
39.4b
(fma (- z) z (* z z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity prod-diff
5×distribute-rgt-in distribute-lft-in
4×associate-*r*
3×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg associate-*r/ fma-udef
1×flip3-- associate-*l* *-commutative flip-- difference-of-squares
Counts
3 → 53
Calls
3 calls:
0.0ms
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
12.0ms
(* (* y 4.0) (- t (* z z)))
0.0ms
(fma (- z) z (* z z))

series352.0ms

Counts
3 → 9
Calls
3 calls:
329.0ms
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
19.0ms
(* (* y 4.0) (- t (* z z)))
4.0ms
(fma (- z) z (* z z))

simplify44.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0268462
11232391
25002382

prune526.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 4 expressions with local error:

4.7b
(cbrt (* (* y 4.0) (- t (* z z))))
8.1b
(* (* y 4.0) (- t (* z z)))
8.1b
(* (* y 4.0) (- t (* z z)))
8.1b
(* (* y 4.0) (- t (* z z)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
18×prod-diff
16×add-sqr-sqrt
15×distribute-rgt-in distribute-lft-in
13×add-cube-cbrt *-un-lft-identity
12×associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
8×associate-*r/
6×sub-neg
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×associate-*l* *-commutative difference-of-squares
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 112
Calls
4 calls:
7.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
11.0ms
(* (* y 4.0) (- t (* z z)))
14.0ms
(* (* y 4.0) (- t (* z z)))
12.0ms
(* (* y 4.0) (- t (* z z)))

series121.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
19.0ms
(* (* y 4.0) (- t (* z z)))
19.0ms
(* (* y 4.0) (- t (* z z)))
19.0ms
(* (* y 4.0) (- t (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0331878
11356753
25001735

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.7b

localize19.0ms

Local error

Found 4 expressions with local error:

8.1b
(* (* y 4.0) (- t (* z z)))
8.7b
(cbrt (- t (* z z)))
8.7b
(cbrt (- t (* z z)))
8.7b
(cbrt (- t (* z z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod
10×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×cbrt-div prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u flip3-- associate-*r* flip-- log1p-expm1-u add-log-exp difference-of-squares
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×associate-*l* *-commutative
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (* y 4.0) (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))

series168.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* y 4.0) (- t (* z z)))
50.0ms
(cbrt (- t (* z z)))
48.0ms
(cbrt (- t (* z z)))
51.0ms
(cbrt (- t (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0345642
11391583
25001569

prune1.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.7b

regimes892.0ms

Accuracy

80.8% (0.7b remaining)

Error of 3.3b against oracle of 2.6b and baseline of 6.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02414
12414

end0.0ms

sample1.4s

Algorithm
intervals
Results
978.0ms15925×body80valid