Details

Time bar (total: 7.0s)

sample23.0ms

Algorithm
intervals
Results
10.0ms336×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.2b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite186.0ms

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))
27.0ms
(- (/ y z) (/ t (- 1.0 z)))
51.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series116.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ t (- 1.0 z))
32.0ms
(- (/ y z) (/ t (- 1.0 z)))
51.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify317.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0166127825
1500122260

prune1.6s

Filtered
936 candidates to 376 candidates (40.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New92412936
Fresh000
Picked101
Done000
Total92512937

Merged error: 0.3b

Counts
937 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
4.2b
(* x (+ (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
4.0ms
(cbrt z)
5.0ms
(* x (+ (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

series719.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt z)
170.0ms
(cbrt z)
193.0ms
(cbrt z)
181.0ms
(* x (+ (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

simplify43.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0237713
11219622
25001543

prune284.0ms

Filtered
75 candidates to 64 candidates (85.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh3811
Picked011
Done000
Total771087

Merged error: 0.0b

Counts
87 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
6.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity
107×add-sqr-sqrt
82×cbrt-prod
64×times-frac
36×distribute-lft-out--
33×cbrt-div
28×difference-of-squares
17×swap-sqr
15×add-cube-cbrt
13×associate-*r* associate-*l*
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 151
Calls
4 calls:
49.0ms
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
19.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
22.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series557.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
131.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
135.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
133.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify99.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
03912153
111392070
240571913
350011882

prune525.0ms

Filtered
163 candidates to 115 candidates (70.6%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1612163
Fresh178
Picked011
Done011
Total16211173

Merged error: 0.0b

Counts
173 → 11

localize43.0ms

Local error

Found 4 expressions with local error:

6.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b
(cbrt (+ (/ y z) (/ t (- 1.0 z))))
23.2b
(cbrt (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
32×add-sqr-sqrt
30×cbrt-prod
20×cbrt-div times-frac
11×frac-sub
9×distribute-lft-out-- difference-of-squares
8×add-cube-cbrt
6×frac-times associate-*r/ associate-*l/
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip-- distribute-lft-out
1×flip3-+ frac-add flip-+
Counts
4 → 90
Calls
4 calls:
22.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
27.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
31.0ms
(cbrt (+ (/ y z) (/ t (- 1.0 z))))
13.0ms
(cbrt (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))

series716.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
163.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
197.0ms
(cbrt (+ (/ y z) (/ t (- 1.0 z))))
218.0ms
(cbrt (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05431198
114381137
250021123

prune493.0ms

Filtered
102 candidates to 84 candidates (82.4%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh088
Picked011
Done022
Total10211113

Merged error: 0.0b

Counts
113 → 11

regimes382.0ms

Accuracy

60% (2.0b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 4.9b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06775
17875
27875

end0.0ms

sample573.0ms

Algorithm
intervals
Results
319.0ms10161×body80valid