Details

Time bar (total: 4.7s)

sample33.0ms

Algorithm
intervals
Results
15.0ms522×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (86.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×prod-diff
10×distribute-rgt-in distribute-lft-in associate--r+
8×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×sub-neg
4×associate-*r* add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×fma-neg diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 59
Calls
2 calls:
5.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
15.0ms
(* (* y 4.0) (- (* z z) t))

series152.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
72.0ms
(* (* y 4.0) (- (* z z) t))

simplify59.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0385490
11737408
25001399

prune163.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

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:
8.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
14.0ms
(* (* y 4.0) (- (* z z) t))
15.0ms
(* (* y 4.0) (- (* z z) t))
18.0ms
(* (* y 4.0) (- (* z z) t))

series368.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
70.0ms
(* (* y 4.0) (- (* z z) t))
65.0ms
(* (* y 4.0) (- (* z z) t))
70.0ms
(* (* y 4.0) (- (* z z) t))

simplify57.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0372893
11524699
25002690

prune321.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.7b

localize17.0ms

Local error

Found 4 expressions with local error:

4.7b
(cbrt (* (* y 4.0) (- (* z z) t)))
8.1b
(* (* y 4.0) (- (* z z) t))
8.1b
(* (* y 4.0) (- (* z z) t))
8.7b
(cbrt (- (* z z) t))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
12×prod-diff
11×add-cube-cbrt *-un-lft-identity
10×distribute-rgt-in distribute-lft-in
8×associate-*r*
6×associate-*r/ pow-prod-down prod-exp cbrt-unprod
5×cbrt-prod
4×expm1-log1p-u sub-neg cbrt-div flip3-- flip-- log1p-expm1-u add-log-exp
3×difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 95
Calls
4 calls:
8.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
14.0ms
(* (* y 4.0) (- (* z z) t))
18.0ms
(* (* y 4.0) (- (* z z) t))
3.0ms
(cbrt (- (* z z) t))

series400.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
65.0ms
(* (* y 4.0) (- (* z z) t))
71.0ms
(* (* y 4.0) (- (* z z) t))
98.0ms
(cbrt (- (* z z) t))

simplify58.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0425759
11687619
25001612

prune374.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.7b

localize17.0ms

Local error

Found 4 expressions with local error:

4.7b
(cbrt (* (* y 4.0) (- (* z z) t)))
8.1b
(* (* y 4.0) (- (* z z) t))
8.7b
(cbrt (- (* z z) t))
8.7b
(cbrt (- (* z z) t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log cbrt-prod add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×cbrt-div prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u flip3-- associate-*r/ associate-*r* flip-- log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod difference-of-squares
2×sub-neg
1×associate-*l* *-commutative
Counts
4 → 78
Calls
4 calls:
8.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
15.0ms
(* (* y 4.0) (- (* z z) t))
3.0ms
(cbrt (- (* z z) t))
3.0ms
(cbrt (- (* z z) t))

series437.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
73.0ms
(* (* y 4.0) (- (* z z) t))
99.0ms
(cbrt (- (* z z) t))
98.0ms
(cbrt (- (* z z) t))

simplify58.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0425625
11687539
25001530

prune338.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 2.7b

regimes626.0ms

Accuracy

81.2% (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
02516
12516

end0.0ms

sample895.0ms

Algorithm
intervals
Results
488.0ms15925×body80valid