Details

Time bar (total: 2.8s)

sample26.0ms

Algorithm
intervals
Results
14.0ms351×body80valid

simplify15.0ms

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: 9.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
9.4b
(* t (* y (- x z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
11.0ms
(* y (- x z))
18.0ms
(* t (* y (- x z)))

series77.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04021084
11572663
25001645

prune135.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

3.8b
(* (* t y) (- x z))

rewrite15.0ms

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:
13.0ms
(* (* t y) (- x z))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (* t y) (- x z))

simplify38.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0303430
11277281
25002269

prune81.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
0.6b
(cbrt x)
0.7b
(pow (cbrt x) 3)
5.8b
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
13×add-cube-cbrt
12×pow1 add-exp-log
11×add-cbrt-cube
9×cbrt-prod
8×associate-*r*
6×unpow-prod-down cube-prod
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow flip3-+ pow1/3 associate-*l/ *-commutative flip-+ distribute-lft-out
1×distribute-rgt-in cube-mult pow-to-exp distribute-rgt-neg-in distribute-lft-in unpow3 pow-exp rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 93
Calls
4 calls:
23.0ms
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
0.0ms
(cbrt x)
2.0ms
(pow (cbrt x) 3)
33.0ms
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

series553.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
184.0ms
(cbrt x)
234.0ms
(pow (cbrt x) 3)
67.0ms
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

simplify77.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0366497
12141355
25002351

prune304.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(+ (* t x) (* t (- z)))
5.8b
(* (+ (* t x) (* t (- z))) y)

rewrite12.0ms

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-+ associate-*l/ distribute-rgt-neg-out flip-+ log1p-expm1-u distribute-lft-out
1×+-commutative fma-def unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(+ (* t x) (* t (- z)))
9.0ms
(* (+ (* t x) (* t (- z))) y)

series89.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* t x) (* t (- z)))
53.0ms
(* (+ (* t x) (* t (- z))) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0187261
1785212
25001204

prune137.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes179.0ms

Accuracy

-5.8% (6.7b remaining)

Error of 6.7b against oracle of 0.0b and baseline of 6.3b

bsearch50.0ms

Steps
ItersRangePoint
10
-5.102994753764858e-206
-2.0490677471590774e-218
-3.094834196641363e-215

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03313
13713
23813
33813

end0.0ms

sample716.0ms

Algorithm
intervals
Results
439.0ms10708×body80valid