Details

Time bar (total: 6.2s)

sample35.0ms

Algorithm
intervals
Results
18.0ms497×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (85.0ms)

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: 8.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* y 4.0) (- t (* z z))))
7.5b
(* (* 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)))

series163.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
76.0ms
(* (* y 4.0) (- t (* z z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0252340
11165287
25002282

prune112.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.2b

localize14.0ms

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)))))
7.5b
(* (* y 4.0) (- t (* z z)))
40.8b
(fma (- z) z (* z z))

rewrite13.0ms

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)))))
11.0ms
(* (* y 4.0) (- t (* z z)))
0.0ms
(fma (- z) z (* z z))

series1.7s

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)))))
73.0ms
(* (* y 4.0) (- t (* z z)))
53.0ms
(fma (- z) z (* z z))

simplify42.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0268462
11232391
25002382

prune170.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.2b

localize13.0ms

Local error

Found 4 expressions with local error:

5.0b
(cbrt (* (* y 4.0) (- t (* z z))))
7.5b
(* (* y 4.0) (- t (* z z)))
7.5b
(* (* y 4.0) (- t (* z z)))
7.5b
(* (* y 4.0) (- t (* z z)))

rewrite45.0ms

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

series561.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
77.0ms
(* (* y 4.0) (- t (* z z)))
107.0ms
(* (* y 4.0) (- t (* z z)))
72.0ms
(* (* y 4.0) (- t (* z z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0331878
11356753
25001735

prune333.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.1b

localize19.0ms

Local error

Found 4 expressions with local error:

7.5b
(* (* y 4.0) (- t (* z z)))
8.2b
(cbrt (- t (* z z)))
8.2b
(cbrt (- t (* z z)))
8.2b
(cbrt (- t (* z z)))

rewrite37.0ms

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:
20.0ms
(* (* y 4.0) (- t (* z z)))
7.0ms
(cbrt (- t (* z z)))
3.0ms
(cbrt (- t (* z z)))
3.0ms
(cbrt (- t (* z z)))

series969.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (* y 4.0) (- t (* z z)))
280.0ms
(cbrt (- t (* z z)))
288.0ms
(cbrt (- t (* z z)))
324.0ms
(cbrt (- t (* z z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0345642
11391583
25001569

prune404.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.1b

regimes325.0ms

Accuracy

81.7% (0.7b remaining)

Error of 3.1b against oracle of 2.4b and baseline of 6.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02414
12414

end0.0ms

sample891.0ms

Algorithm
intervals
Results
501.0ms15827×body80valid