Details

Time bar (total: 2.4s)

sample19.0ms

Algorithm
intervals
Results
8.0ms335×body80valid

simplify20.0ms

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: 7.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z y))
6.8b
(* (- (* x y) (* z y)) t)

rewrite10.0ms

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:
4.0ms
(- (* x y) (* z y))
6.0ms
(* (- (* x y) (* z y)) t)

series77.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (* x y) (* z y))
42.0ms
(* (- (* x y) (* z y)) t)

simplify105.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0173232
1656199
23963195
35001195

prune110.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.6b
(* (* t y) (- x z))

rewrite10.0ms

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:
8.0ms
(* (* t y) (- x z))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (* t y) (- x z))

simplify40.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0303430
11277281
25002269

prune73.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ (* x y) (- (* z y)))
6.8b
(* (+ (* x y) (- (* z y))) t)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt add-log-exp
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube
3×associate-*r*
2×distribute-lft-neg-in expm1-log1p-u distribute-rgt-out flip3-+ associate-*l/ sum-log flip-+ log1p-expm1-u
1×+-commutative neg-sub0 associate-+r- fma-def unsub-neg pow-prod-down neg-log prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 42
Calls
2 calls:
4.0ms
(+ (* x y) (- (* z y)))
7.0ms
(* (+ (* x y) (- (* z y))) t)

series76.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* x y) (- (* z y)))
45.0ms
(* (+ (* x y) (- (* z y))) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0190266
1925219
25002210

prune108.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
1.5b
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
5.3b
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite51.0ms

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:
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
21.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
17.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

series411.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- x z))
143.0ms
(cbrt (- x z))
42.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
81.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

simplify69.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05621529
121371320
250011255

prune331.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes215.0ms

Accuracy

53.5% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 6.4b

bsearch51.0ms

Steps
ItersRangePoint
5
9.485233356611465e+58
3.6095960273250577e+59
3.190378299711063e+59
8
-2.0513301813473638e+63
-1.0952051569988174e+60
-4.695134016730032e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612
13812
23812

end0.0ms

sample520.0ms

Algorithm
intervals
Results
263.0ms10672×body80valid