Details

Time bar (total: 4.5s)

sample23.0ms

Algorithm
intervals
Results
10.0ms329×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune3.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
6.0ms
(/ t (- 1.0 z))
29.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series101.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ t (- 1.0 z))
56.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0346447
11353419
25001417

prune208.0ms

Filtered
75 candidates to 53 candidates (70.7%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New631275
Fresh000
Picked101
Done000
Total641276

Merged error: 1.7b

Counts
76 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
4.7b
(* x (- (/ t (- 1.0 z))))
6.3b
(* x (/ y z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
61×*-un-lft-identity
59×associate-*r*
55×times-frac
41×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
12×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
7×pow1
6×associate-*l* associate-/r/
5×associate-/r*
4×div-inv
3×flip3-- prod-exp flip-- cbrt-unprod associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative
1×neg-mul-1 frac-2neg clear-num distribute-rgt-neg-out distribute-neg-frac
Counts
3 → 132
Calls
3 calls:
6.0ms
(/ t (- 1.0 z))
16.0ms
(* x (- (/ t (- 1.0 z))))
7.0ms
(* x (/ y z))

series143.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ t (- 1.0 z))
73.0ms
(* x (- (/ t (- 1.0 z))))
25.0ms
(* x (/ y z))

simplify88.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
0592711
12780661
25001661

prune379.0ms

Filtered
141 candidates to 104 candidates (73.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1356141
Fresh5611
Picked101
Done000
Total14112153

Merged error: 0.2b

Counts
153 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.8b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
4.7b
(* x (- (/ t (- 1.0 z))))

rewrite42.0ms

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)
17.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
17.0ms
(* x (- (/ t (- 1.0 z))))

series585.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt z)
207.0ms
(cbrt z)
107.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
72.0ms
(* x (- (/ t (- 1.0 z))))

simplify98.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
0632798
13020684
25001649

prune459.0ms

Filtered
127 candidates to 96 candidates (75.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1243127
Fresh4711
Picked101
Done000
Total12910139

Merged error: 0.0b

Counts
139 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.8b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
4.7b
(* x (- (/ t (- 1.0 z))))

rewrite39.0ms

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)
14.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
17.0ms
(* x (- (/ t (- 1.0 z))))

series603.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt z)
215.0ms
(cbrt z)
102.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
77.0ms
(* x (- (/ t (- 1.0 z))))

simplify99.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
0632798
13020684
25001649

prune484.0ms

Filtered
127 candidates to 96 candidates (75.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1270127
Fresh099
Picked011
Done000
Total12710137

Merged error: 0.0b

Counts
137 → 10

regimes347.0ms

Accuracy

28.3% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 2.0b

bsearch2.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07270
18170
28370
38370

end0.0ms

sample600.0ms

Algorithm
intervals
Results
335.0ms10154×body80valid