Details

Time bar (total: 5.7s)

sample55.0ms

Algorithm
intervals
Results
27.0ms481×body80valid

simplify124.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (107.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* y 4.0) (- t (* z z))))
6.4b
(* (* y 4.0) (- t (* z z)))

rewrite12.0ms

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))))
11.0ms
(* (* y 4.0) (- t (* z z)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
78.0ms
(* (* y 4.0) (- t (* z z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0252340
11165287
25002282

prune110.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.0b

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)))))
6.4b
(* (* y 4.0) (- t (* z z)))
43.4b
(fma (- z) z (* z z))

rewrite12.0ms

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)))))
10.0ms
(* (* y 4.0) (- t (* z z)))
0.0ms
(fma (- z) z (* z z))

series1.8s

Counts
3 → 9
Calls
3 calls:
1.6s
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
79.0ms
(* (* y 4.0) (- t (* z z)))
57.0ms
(fma (- z) z (* z z))

simplify39.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0268462
11232391
25002382

prune201.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.0b

localize23.0ms

Local error

Found 4 expressions with local error:

5.4b
(cbrt (* (* y 4.0) (- t (* z z))))
6.4b
(* (* y 4.0) (- t (* z z)))
6.4b
(* (* y 4.0) (- t (* z z)))
6.4b
(* (* y 4.0) (- t (* z z)))

rewrite51.0ms

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:
6.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
10.0ms
(* (* y 4.0) (- t (* z z)))
11.0ms
(* (* y 4.0) (- t (* z z)))
20.0ms
(* (* y 4.0) (- t (* z z)))

series540.0ms

Counts
4 → 12
Calls
4 calls:
313.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
76.0ms
(* (* y 4.0) (- t (* z z)))
76.0ms
(* (* y 4.0) (- t (* z z)))
75.0ms
(* (* y 4.0) (- t (* z z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0331878
11356753
25001735

prune322.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.0b

localize17.0ms

Local error

Found 4 expressions with local error:

6.4b
(* (* y 4.0) (- t (* z z)))
6.4b
(* (* y 4.0) (- t (* z z)))
6.4b
(* (* y 4.0) (- t (* z z)))
6.4b
(* (* y 4.0) (- t (* z z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log prod-diff add-cbrt-cube
20×distribute-rgt-in add-sqr-sqrt distribute-lft-in
16×add-cube-cbrt *-un-lft-identity associate-*r*
12×pow-prod-down prod-exp cbrt-unprod
8×sub-neg associate-*r/
4×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
4 → 132
Calls
4 calls:
10.0ms
(* (* y 4.0) (- t (* z z)))
14.0ms
(* (* y 4.0) (- t (* z z)))
10.0ms
(* (* y 4.0) (- t (* z z)))
11.0ms
(* (* y 4.0) (- t (* z z)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (* y 4.0) (- t (* z z)))
80.0ms
(* (* y 4.0) (- t (* z z)))
73.0ms
(* (* y 4.0) (- t (* z z)))
79.0ms
(* (* y 4.0) (- t (* z z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0230996
11099848
25001828

prune391.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.0b

regimes249.0ms

Accuracy

84.4% (0.5b remaining)

Error of 3.3b against oracle of 2.8b and baseline of 6.1b

bsearch176.0ms

Steps
ItersRangePoint
11
8.66819707684755e+151
3.201191508225362e+171
1.3443314484480764e+154
9
-1.2379330794402539e+147
-1.7505808697476247e+142
-1.2253575379727375e+147

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03619
13619

end0.0ms

sample935.0ms

Algorithm
intervals
Results
511.0ms15893×body80valid