Details

Time bar (total: 3.3s)

sample23.0ms

Algorithm
intervals
Results
11.0ms313×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

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: 5.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
5.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
33×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
10×associate-*r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1
3×associate-*r/ associate-*l* associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative frac-sub cbrt-unprod div-inv unswap-sqr
Counts
2 → 69
Calls
2 calls:
5.0ms
(/ t (- 1.0 z))
27.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series89.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ t (- 1.0 z))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0346447
11353419
25001417

prune168.0ms

Filtered
75 candidates to 53 candidates (70.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New651075
Fresh000
Picked101
Done000
Total661076

Merged error: 1.2b

Counts
76 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
2.2b
(* x (neg (/ t (- 1.0 z))))
6.7b
(* x (/ y z))

rewrite36.0ms

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×associate-*r/ 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 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
5.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
14.0ms
(* x (neg (/ t (- 1.0 z))))
6.0ms
(* x (/ y z))

series175.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ t (- 1.0 z))
65.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
55.0ms
(* x (neg (/ t (- 1.0 z))))
23.0ms
(* x (/ y z))

simplify85.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0674868
13164809
25002808

prune338.0ms

Filtered
159 candidates to 118 candidates (74.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1527159
Fresh369
Picked101
Done000
Total15613169

Merged error: 0.0b

Counts
169 → 13

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.6b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
2.2b
(* x (neg (/ t (- 1.0 z))))

rewrite31.0ms

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 div-exp associate-/r/ 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 → 115
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
11.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
13.0ms
(* x (neg (/ t (- 1.0 z))))

series484.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt z)
174.0ms
(cbrt z)
78.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
60.0ms
(* x (neg (/ t (- 1.0 z))))

simplify74.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0632795
13024684
25002649

prune390.0ms

Filtered
127 candidates to 96 candidates (75.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1270127
Fresh01212
Picked011
Done000
Total12713140

Merged error: 0.0b

Counts
140 → 13

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
5.4b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
25×add-cube-cbrt
24×associate-*r*
18×add-exp-log
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/ unswap-sqr
3×flip3-- flip-- cbrt-unprod associate-/l* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg rec-exp distribute-lft-in 1-exp pow-prod-down un-div-inv *-commutative frac-sub div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 111
Calls
3 calls:
5.0ms
(/ 1 (- 1.0 z))
10.0ms
(* t (/ 1 (- 1.0 z)))
8.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series108.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ 1 (- 1.0 z))
40.0ms
(* t (/ 1 (- 1.0 z)))
46.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0464683
12050600
25002558

prune170.0ms

Filtered
120 candidates to 68 candidates (56.7%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh01111
Picked011
Done011
Total12013133

Merged error: 0.0b

Counts
133 → 13

regimes310.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b 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

sample599.0ms

Algorithm
intervals
Results
353.0ms10070×body80valid

Profiling

Loading profile data...