Details

Time bar (total: 3.8s)

sample24.0ms

Algorithm
intervals
Results
12.0ms329×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 4.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
4.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
791×times-frac
720×add-sqr-sqrt
717×*-un-lft-identity
546×prod-diff
542×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
86×distribute-lft-out-- difference-of-squares
69×div-inv
54×associate-/r/
28×flip3-- flip--
10×associate-*r*
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1
3×associate-*r/ associate-*l* associate-/l*
2×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative frac-sub cbrt-unprod unswap-sqr
Counts
2 → 619
Calls
2 calls:
5.0ms
(/ t (- 1.0 z))
42.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series82.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ t (- 1.0 z))
46.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify177.0ms

Algorithm
egg-herbie
Counts
625 → 625
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0161718912
1500115159

prune809.0ms

Filtered
625 candidates to 200 candidates (32.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New61312625
Fresh000
Picked101
Done000
Total61412626

Merged error: 0.7b

Counts
626 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
4.4b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
54×*-un-lft-identity
50×times-frac
39×add-cube-cbrt
26×prod-diff
24×associate-*r*
18×add-exp-log
15×distribute-rgt-in distribute-lft-in
12×add-cbrt-cube
8×pow1
7×distribute-lft-out-- difference-of-squares
6×associate-*r/ associate-*l*
5×prod-exp associate-/r*
4×div-exp associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u flip3-- flip-- cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv sub-neg rec-exp 1-exp pow-prod-down un-div-inv *-commutative frac-sub
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 143
Calls
3 calls:
5.0ms
(/ 1 (- 1.0 z))
10.0ms
(* t (/ 1 (- 1.0 z)))
9.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series105.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ 1 (- 1.0 z))
34.0ms
(* t (/ 1 (- 1.0 z)))
49.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05901204
125661049
25001972

prune235.0ms

Filtered
152 candidates to 82 candidates (53.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh01111
Picked011
Done000
Total15212164

Merged error: 0.7b

Counts
164 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
4.4b
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
42×*-un-lft-identity
30×times-frac
26×add-cube-cbrt
10×add-exp-log associate-/r* add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1 associate-/l*
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* fma-udef
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 110
Calls
4 calls:
6.0ms
(/ t (- 1.0 z))
8.0ms
(/ t (- 1.0 z))
1.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
4.0ms
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

series171.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ t (- 1.0 z))
33.0ms
(/ t (- 1.0 z))
49.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
52.0ms
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

simplify40.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0310779
11210702
25001695

prune336.0ms

Filtered
122 candidates to 96 candidates (78.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1202122
Fresh5510
Picked101
Done011
Total1268134

Merged error: 0.0b

Counts
134 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (- 1.0 z))
0.4b
(cbrt (- 1.0 z))
0.4b
(cbrt (- 1.0 z))
4.4b
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
26×prod-diff
23×add-cube-cbrt
18×times-frac
15×cbrt-prod distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log cbrt-div associate-*r/ add-cbrt-cube
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l* frac-sub distribute-lft-out-- difference-of-squares
2×sub-neg div-inv
1×frac-times pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 106
Calls
4 calls:
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))
9.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

series343.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (- 1.0 z))
120.0ms
(cbrt (- 1.0 z))
89.0ms
(cbrt (- 1.0 z))
46.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04981949
119581699
250011208

prune284.0ms

Filtered
118 candidates to 82 candidates (69.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh066
Picked011
Done011
Total1188126

Merged error: 0.0b

Counts
126 → 8

regimes276.0ms

Accuracy

85.1% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 4.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06271
16671
26671

end0.0ms

sample564.0ms

Algorithm
intervals
Results
321.0ms10154×body80valid