Details

Time bar (total: 7.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms316×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: 2.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
2.8b
(* 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:
39.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
146.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series128.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (/ y z) (/ t (- 1.0 z)))
34.0ms
(/ t (- 1.0 z))
55.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify254.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0166127825
1500122260

prune1.9s

Pruning

14 alts after pruning (14 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)))))
3.0b
(* x (- (/ t (- 1.0 z))))
3.3b
(* 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))))
8.0ms
(* x (/ y z))

series178.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ t (- 1.0 z))
64.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
60.0ms
(* x (- (/ t (- 1.0 z))))
20.0ms
(* x (/ y z))

simplify87.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0696901
13282837
25002834

prune433.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 z))
0.4b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
2.2b
(* (/ x (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (- (/ t (cbrt (- 1.0 z)))))
3.3b
(* x (/ y z))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
93×add-sqr-sqrt
85×associate-*r*
82×*-un-lft-identity
63×cbrt-prod
62×times-frac
54×add-cube-cbrt
30×distribute-lft-neg-in cbrt-div distribute-rgt-neg-in
26×associate-*l*
20×add-exp-log
16×add-cbrt-cube
15×pow1 flip3-- flip--
13×distribute-lft-out--
12×associate-/r/
11×difference-of-squares
10×swap-sqr
9×frac-times
8×unswap-sqr
7×pow1/3 prod-exp cbrt-unprod
6×associate-*r/
5×associate-*l/
4×expm1-log1p-u pow-prod-down log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv div-exp *-commutative
2×pow-sqr pow-prod-up distribute-neg-frac
1×pow2 neg-mul-1 pow-plus distribute-rgt-neg-out
Counts
4 → 211
Calls
4 calls:
2.0ms
(cbrt (- 1.0 z))
20.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
87.0ms
(* (/ x (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (- (/ t (cbrt (- 1.0 z)))))
7.0ms
(* x (/ y z))

series305.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (- 1.0 z))
134.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
43.0ms
(* (/ x (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (- (/ t (cbrt (- 1.0 z)))))
20.0ms
(* x (/ y z))

simplify48.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011192079
150011952

prune712.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
0.4b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
1.8b
(* (/ (/ x (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (cbrt (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))) (- (/ t (cbrt (cbrt (- 1.0 z))))))
3.3b
(* x (/ y z))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
156×add-sqr-sqrt
154×times-frac
151×cbrt-prod
135×*-un-lft-identity
111×associate-*r*
100×cbrt-div
95×add-cube-cbrt
91×associate-*l*
44×flip3-- associate-/r/ flip--
39×distribute-lft-neg-in distribute-rgt-neg-in
29×frac-times
27×add-exp-log
22×pow1
20×swap-sqr
18×add-cbrt-cube distribute-lft-out--
16×associate-*r/
15×associate-*l/ unswap-sqr
14×difference-of-squares
12×pow1/3
9×prod-exp cbrt-unprod
8×div-inv
6×cbrt-undiv div-exp pow-prod-down
4×expm1-log1p-u pow-sqr *-commutative pow-prod-up log1p-expm1-u add-log-exp
2×pow2 pow-plus distribute-neg-frac
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 332
Calls
4 calls:
22.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
20.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
172.0ms
(* (/ (/ x (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (cbrt (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))) (- (/ t (cbrt (cbrt (- 1.0 z))))))
7.0ms
(* x (/ y z))

series285.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
108.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
51.0ms
(* (/ (/ x (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (cbrt (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))) (- (/ t (cbrt (cbrt (- 1.0 z))))))
20.0ms
(* x (/ y z))

simplify77.0ms

Algorithm
egg-herbie
Counts
344 → 344
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015904847
150014660

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

29% (4.6b remaining)

Error of 4.7b against oracle of 0.1b and baseline of 6.6b

bsearch107.0ms

Steps
ItersRangePoint
9
1.8469727809684325e+91
4.7263106042424435e+98
1.412435323223476e+93
10
-2.299948591329529e+133
-3.898170639313033e+121
-4.0954988046392846e+121

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04634
15534
25734
35734

end0.0ms

sample557.0ms

Algorithm
intervals
Results
300.0ms10012×body80valid