Details

Time bar (total: 5.6s)

sample47.0ms

Algorithm
intervals
Results
30.0ms476×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (91.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* z z))
5.9b
(* (* y 4.0) (- t (* z z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt prod-diff
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×distribute-rgt-in distribute-lft-in
4×associate-*r* add-log-exp
3×sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
2 → 54
Calls
2 calls:
3.0ms
(- t (* z z))
11.0ms
(* (* y 4.0) (- t (* z z)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- t (* z z))
88.0ms
(* (* y 4.0) (- t (* z z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0257349
11187299
25001292

prune166.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* z z))
5.9b
(* (* y 4.0) (- t (* z z)))
42.6b
(fma (- z) z (* 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))
11.0ms
(* (* y 4.0) (- t (* z z)))
0.0ms
(fma (- z) z (* z z))

series187.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- t (* z z))
89.0ms
(* (* y 4.0) (- t (* z z)))
60.0ms
(fma (- z) z (* z z))

simplify47.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0266399
11192342
25001335

prune243.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.4b

localize13.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
6.6b
(cbrt (- t (* z z)))
6.6b
(cbrt (- t (* z z)))
6.6b
(cbrt (- t (* z z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×pow1 add-exp-log
12×cbrt-prod add-cbrt-cube
10×add-sqr-sqrt associate-*r/
9×flip3-- flip--
8×pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 difference-of-squares
2×associate-*l/
1×associate-*r* associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
25.0ms
(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
2.0ms
(cbrt (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
257.0ms
(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
323.0ms
(cbrt (- t (* z z)))
320.0ms
(cbrt (- t (* z z)))
322.0ms
(cbrt (- t (* z z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0386796
11295707
25001692

prune386.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.4b

localize13.0ms

Local error

Found 4 expressions with local error:

4.2b
(cbrt (* (* y 4.0) (- t (* z z))))
5.9b
(* (* y 4.0) (- t (* z z)))
5.9b
(* (* y 4.0) (- t (* z z)))
5.9b
(* (* 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:
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)))
15.0ms
(* (* y 4.0) (- t (* z z)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
353.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
83.0ms
(* (* y 4.0) (- t (* z z)))
90.0ms
(* (* y 4.0) (- t (* z z)))
90.0ms
(* (* y 4.0) (- t (* z z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0331878
11356753
25001735

prune369.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.4b

regimes285.0ms

Accuracy

75% (0.8b remaining)

Error of 3.6b against oracle of 2.8b and baseline of 5.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03020
13020

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s15766×body80valid