Details

Time bar (total: 4.8s)

sample34.0ms

Algorithm
intervals
Results
16.0ms492×body80valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (95.0ms)

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

localize10.0ms

Local error

Found 1 expressions with local error:

6.0b
(* (* y 4.0) (- t (* z z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
1 → 33
Calls
1 calls:
11.0ms
(* (* y 4.0) (- t (* z z)))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(* (* y 4.0) (- t (* z z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0230249
11099212
25001207

prune102.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize15.0ms

Local error

Found 2 expressions with local error:

6.0b
(* (* y 4.0) (- t (* z z)))
40.3b
(fma (- z) z (* z z))

rewrite13.0ms

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

series164.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(* (* y 4.0) (- t (* z z)))
65.0ms
(fma (- z) z (* z z))

simplify48.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0241299
11123255
25002250

prune153.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.9b

localize14.0ms

Local error

Found 4 expressions with local error:

3.6b
(cbrt (* (* y 4.0) (- t (* z z))))
6.0b
(* (* y 4.0) (- t (* z z)))
6.0b
(* (* y 4.0) (- t (* z z)))
6.0b
(* (* 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:
7.0ms
(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)))

series795.0ms

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
79.0ms
(* (* y 4.0) (- t (* z z)))
305.0ms
(* (* y 4.0) (- t (* z z)))
85.0ms
(* (* y 4.0) (- t (* z z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0331878
11356753
25001735

prune337.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.9b

localize16.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
6.5b
(cbrt (- t (* z z)))
6.5b
(cbrt (- t (* z z)))
6.5b
(cbrt (- t (* z z)))

rewrite32.0ms

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:
24.0ms
(* (* 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)))

series1.1s

Counts
4 → 12
Calls
4 calls:
239.0ms
(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
305.0ms
(cbrt (- t (* z z)))
292.0ms
(cbrt (- t (* z z)))
291.0ms
(cbrt (- t (* z z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0386796
11295707
25001692

prune341.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 2.9b

regimes283.0ms

Accuracy

64.4% (1.2b remaining)

Error of 3.9b against oracle of 2.6b and baseline of 6.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03020
13020

end0.0ms

sample918.0ms

Algorithm
intervals
Results
512.0ms15875×body80valid