Details

Time bar (total: 6.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms344×body80valid

simplify18.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
2.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite294.0ms

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:
5.0ms
(/ t (- 1.0 z))
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
149.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series120.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ t (- 1.0 z))
39.0ms
(- (/ 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

Filtered
936 candidates to 376 candidates (40.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
2.0b
(* x (- (/ t (- 1.0 z))))
4.3b
(* x (/ y z))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 fma-def frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 156
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
4.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
36.0ms
(* x (- (/ t (- 1.0 z))))
7.0ms
(* x (/ y z))

series177.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ t (- 1.0 z))
62.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
60.0ms
(* x (- (/ t (- 1.0 z))))
19.0ms
(* x (/ y z))

simplify85.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0696901
13282837
25002834

prune420.0ms

Filtered
168 candidates to 127 candidates (75.6%)
Pruning

11 alts after pruning (11 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)
1.4b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
2.0b
(* x (- (/ t (- 1.0 z))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
51×associate-*r*
45×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
28×add-cube-cbrt
24×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
16×add-cbrt-cube
10×prod-exp cbrt-unprod
8×pow1
6×cbrt-prod associate-*l* distribute-lft-out-- difference-of-squares
4×cbrt-undiv expm1-log1p-u div-exp associate-/r/ log1p-expm1-u add-log-exp
3×div-inv unswap-sqr
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×neg-mul-1 distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 123
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
20.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
38.0ms
(* x (- (/ t (- 1.0 z))))

series497.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
179.0ms
(cbrt y)
81.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
63.0ms
(* x (- (/ t (- 1.0 z))))

simplify81.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0648830
13061714
25002679

prune464.0ms

Filtered
135 candidates to 104 candidates (77.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 z))
0.3b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
0.3b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
2.6b
(* x (fma y (/ 1 z) (- (* (/ t (cbrt (- 1.0 z))) (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod
59×add-sqr-sqrt
53×*-un-lft-identity
26×cbrt-div
23×add-cube-cbrt
20×pow1 swap-sqr
19×associate-*r* associate-*l*
13×flip3-- pow1/3 flip-- distribute-lft-out--
10×add-exp-log
9×difference-of-squares unswap-sqr
8×frac-times
6×add-cbrt-cube
5×pow-prod-down
4×expm1-log1p-u associate-*r/ associate-*l/ pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×prod-exp *-commutative cbrt-unprod
2×pow2 pow-plus fma-udef
1×distribute-rgt-in distribute-lft-in
Counts
4 → 155
Calls
4 calls:
2.0ms
(cbrt (- 1.0 z))
20.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
20.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
3.0ms
(* x (fma y (/ 1 z) (- (* (/ t (cbrt (- 1.0 z))) (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (- 1.0 z))
116.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
113.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
57.0ms
(* x (fma y (/ 1 z) (- (* (/ t (cbrt (- 1.0 z))) (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04451502
116231390
250021300

prune616.0ms

Filtered
167 candidates to 113 candidates (67.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02617
13017
23117
33117

end0.0ms

sample552.0ms

Algorithm
intervals
Results
300.0ms10174×body80valid