Details

Time bar (total: 12.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms309×body80valid

simplify19.0ms

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: 2.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
2.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite180.0ms

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))
24.0ms
(- (/ y z) (/ t (- 1.0 z)))
46.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ t (- 1.0 z))
40.0ms
(- (/ y z) (/ t (- 1.0 z)))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify262.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
0166127825
1500122260

prune1.5s

Filtered
936 candidates to 376 candidates (40.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New92511936
Fresh000
Picked101
Done000
Total92611937

Merged error: 0.4b

Counts
937 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
2.8b
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
15×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r*
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*r* associate-*l* fma-udef log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
3 → 71
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
1.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
7.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series138.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ t (- 1.0 z))
51.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
53.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify37.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0303522
11110468
25001463

prune182.0ms

Filtered
80 candidates to 62 candidates (77.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New78280
Fresh4610
Picked011
Done000
Total82991

Merged error: 0.0b

Counts
91 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.8b
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×prod-diff
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
18×times-frac
15×distribute-rgt-in distribute-lft-in
9×cbrt-prod
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×sub-neg div-inv
1×flip3-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod unswap-sqr
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
13.0ms
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

series621.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt t)
184.0ms
(cbrt t)
188.0ms
(cbrt t)
68.0ms
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03271317
113661109
25002891

prune233.0ms

Filtered
104 candidates to 71 candidates (68.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh077
Picked011
Done011
Total1049113

Merged error: 0.0b

Counts
113 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
2.4b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

rewrite354.0ms

Algorithm
rewrite-expression-head
Rules
2312×times-frac
2077×add-sqr-sqrt
2072×*-un-lft-identity
1638×prod-diff
1593×add-cube-cbrt
1375×distribute-rgt-in distribute-lft-in
238×distribute-lft-out-- difference-of-squares
204×div-inv
156×associate-/r/
80×flip3-- flip--
18×pow1 add-exp-log
11×associate-*r* add-cbrt-cube
10×cbrt-prod
9×associate-*r/ pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 *-commutative frac-sub unswap-sqr
Counts
4 → 1737
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
76.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
47.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

series603.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt x)
189.0ms
(cbrt x)
68.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
158.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

simplify586.0ms

Algorithm
egg-herbie
Counts
1749 → 1749
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
0500168301

prune6.1s

Filtered
1749 candidates to 1239 candidates (70.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New174721749
Fresh156
Picked011
Done022
Total1748101758

Merged error: 0.0b

Counts
1758 → 10

regimes256.0ms

Accuracy

67.8% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 4.7b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04024
14024

end0.0ms

sample638.0ms

Algorithm
intervals
Results
372.0ms10077×body80valid