Details

Time bar (total: 3.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms350×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* x y) (* z y))
7.1b
(* (- (* x y) (* z y)) t)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-- distribute-rgt-out-- associate-*l/ flip-- log1p-expm1-u
1×sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(- (* x y) (* z y))
9.0ms
(* (- (* x y) (* z y)) t)

series75.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- (* x y) (* z y))
44.0ms
(* (- (* x y) (* z y)) t)

simplify99.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0173232
1656199
23963195
35001195

prune138.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

6.1b
(* (* t y) (- x z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×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 distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
14.0ms
(* (* t y) (- x z))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (* t y) (- x z))

simplify42.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0303430
11277281
25002269

prune80.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
2.2b
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
4.1b
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 126
Calls
4 calls:
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
112.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
29.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

series423.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- x z))
148.0ms
(cbrt (- x z))
42.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
89.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

simplify79.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05621531
121481320
250011255

prune342.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))
6.8b
(cbrt (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))))
6.8b
(cbrt (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))))
6.8b
(cbrt (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-div
40×associate-*r/
24×flip3-- flip--
16×pow1 add-exp-log frac-times
12×add-cbrt-cube
8×pow-prod-down associate-*l/ prod-exp cbrt-unprod
4×add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
29.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))
28.0ms
(cbrt (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))))
26.0ms
(cbrt (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))))
26.0ms
(cbrt (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))
147.0ms
(cbrt (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))))
147.0ms
(cbrt (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))))
153.0ms
(cbrt (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03671225
111581115
250011082

prune357.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes342.0ms

Accuracy

96.4% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03631
13631

end0.0ms

sample519.0ms

Algorithm
intervals
Results
267.0ms10626×body80valid