Details

Time bar (total: 5.6s)

sample22.0ms

Algorithm
intervals
Results
10.0ms325×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2415
3635
4805
5965
61135
71215
81245
91245

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
6.0ms
(/ t (- 1.0 z))
30.0ms
(- (/ y z) (/ t (- 1.0 z)))
53.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series121.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ t (- 1.0 z))
40.0ms
(- (/ y z) (/ t (- 1.0 z)))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify243.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0166127825
1500122260

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
5.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×fma-neg add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×prod-exp associate-/r*
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub flip-- log1p-expm1-u unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 185
Calls
4 calls:
8.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
6.0ms
(/ 1 (- 1.0 z))
11.0ms
(* t (/ 1 (- 1.0 z)))
10.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series148.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
29.0ms
(/ 1 (- 1.0 z))
34.0ms
(* t (/ 1 (- 1.0 z)))
52.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify81.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06261632
126971397
250011294

prune409.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* (- x) (/ t (- 1.0 z))))
0.0b
(/ t (- 1.0 z))
3.6b
(* (- x) (/ t (- 1.0 z)))
7.5b
(* x (/ y z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
48×*-un-lft-identity
41×times-frac
34×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-*l*
8×pow1
7×distribute-lft-out-- difference-of-squares
6×add-log-exp
5×associate-/r*
4×expm1-log1p-u associate-*r/ prod-exp associate-/r/ cbrt-unprod log1p-expm1-u unswap-sqr
3×cbrt-undiv distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in div-exp div-inv associate-/l*
2×flip3-- pow-prod-down *-commutative flip--
1×+-commutative neg-mul-1 fma-def frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+
Counts
4 → 140
Calls
4 calls:
5.0ms
(+ (* x (/ y z)) (* (- x) (/ t (- 1.0 z))))
6.0ms
(/ t (- 1.0 z))
14.0ms
(* (- x) (/ t (- 1.0 z)))
7.0ms
(* x (/ y z))

series184.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ (* x (/ y z)) (* (- x) (/ t (- 1.0 z))))
34.0ms
(/ t (- 1.0 z))
62.0ms
(* (- x) (/ t (- 1.0 z)))
20.0ms
(* x (/ y z))

simplify87.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
0668842
13219782
25001781

prune400.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.6b
(* (- x) (/ t (- 1.0 z)))
4.6b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
43×associate-*r*
42×add-sqr-sqrt
37×*-un-lft-identity
34×times-frac
31×add-cube-cbrt
30×add-exp-log
23×add-cbrt-cube
15×pow1 cbrt-prod
14×prod-exp cbrt-unprod
11×associate-*l*
7×pow-prod-down
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*r/ associate-/r/ *-commutative div-inv unswap-sqr
1×distribute-lft-neg-out neg-mul-1 flip3-- flip--
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
13.0ms
(* (- x) (/ t (- 1.0 z)))
14.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series464.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt y)
186.0ms
(cbrt y)
55.0ms
(* (- x) (/ t (- 1.0 z)))
43.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify97.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
0701875
13711722
25002685

prune385.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes308.0ms

Accuracy

65.9% (1.6b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 4.6b

bsearch2.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
04552
15152
25829
36129
46729
57829
68529
78629
88629

end0.0ms

sample574.0ms

Algorithm
intervals
Results
305.0ms10113×body80valid