Details

Time bar (total: 9.1s)

sample36.0ms

Algorithm
intervals
Results
20.0ms481×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (90.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* z z))
0.0b
(fma x x (* (* y 4.0) (- t (* z z))))
4.6b
(* (* 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:
2.0ms
(- t (* z z))
0.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
11.0ms
(* (* y 4.0) (- t (* z z)))

series229.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- t (* z z))
103.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
88.0ms
(* (* y 4.0) (- t (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0279440
11253374
25002367

prune454.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* z z))
0.0b
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
4.6b
(* (* y 4.0) (- t (* z z)))
40.3b
(fma (- z) z (* z z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×pow1 add-exp-log add-cube-cbrt *-un-lft-identity prod-diff add-cbrt-cube
6×add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*r/ flip-- fma-udef difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
4 → 74
Calls
4 calls:
2.0ms
(- t (* z z))
0.0ms
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
11.0ms
(* (* y 4.0) (- t (* z z)))
0.0ms
(fma (- z) z (* z z))

series1.9s

Counts
4 → 12
Calls
4 calls:
45.0ms
(- t (* z z))
1.7s
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
85.0ms
(* (* y 4.0) (- t (* z z)))
60.0ms
(fma (- z) z (* z z))

simplify56.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0293562
11301478
25001467

prune301.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
0.0b
(fma x x (+ (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))) (* (* y 4.0) (fma (- z) z (* z z)))))
8.7b
(* (* y 4.0) (- (* z z)))
40.3b
(fma (- z) z (* z z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
6×associate-*r* add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u
3×pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×fma-udef
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
4 → 61
Calls
4 calls:
7.0ms
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
0.0ms
(fma x x (+ (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))) (* (* y 4.0) (fma (- z) z (* z z)))))
8.0ms
(* (* y 4.0) (- (* z z)))
0.0ms
(fma (- z) z (* z z))

series2.0s

Counts
4 → 12
Calls
4 calls:
102.0ms
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
1.8s
(fma x x (+ (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))) (* (* y 4.0) (fma (- z) z (* z z)))))
37.0ms
(* (* y 4.0) (- (* z z)))
63.0ms
(fma (- z) z (* z z))

simplify65.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0290541
11519446
25001437

prune276.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z)))
0.0b
(fma x x (+ (+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z))) (* (* y 4.0) (fma (- z) z (* z z)))))
0.2b
(* (* (* y 4.0) z) (- z))
40.3b
(fma (- z) z (* z z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
10×associate-*r*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×fma-udef
1×+-commutative neg-mul-1 fma-def flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
4 → 67
Calls
4 calls:
7.0ms
(+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z)))
0.0ms
(fma x x (+ (+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z))) (* (* y 4.0) (fma (- z) z (* z z)))))
24.0ms
(* (* (* y 4.0) z) (- z))
0.0ms
(fma (- z) z (* z z))

series1.9s

Counts
4 → 12
Calls
4 calls:
104.0ms
(+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z)))
1.7s
(fma x x (+ (+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z))) (* (* y 4.0) (fma (- z) z (* z z)))))
36.0ms
(* (* (* y 4.0) z) (- z))
63.0ms
(fma (- z) z (* z z))

simplify72.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0348585
11804501
25001477

prune273.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes248.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411
12811
23411
34011
44011

end0.0ms

sample891.0ms

Algorithm
intervals
Results
516.0ms15894×body80valid