Details

Time bar (total: 4.8s)

sample27.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms9×body1280valid
1.0ms11×body640valid
1.0ms13×body320valid
1.0ms8×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0236
1465
21285
33625
410245
522965
650015

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.2b

Counts
2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.6b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.6b
(* (- y z) (/ (- t x) (- a z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
74×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u fma-def log1p-expm1-u
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 128
Calls
3 calls:
9.0ms
(/ (- t x) (- a z))
4.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
17.0ms
(* (- y z) (/ (- t x) (- a z)))

series343.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (- t x) (- a z))
156.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
132.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0488901
12066849
25001847

prune332.0ms

Filtered
137 candidates to 97 candidates (70.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1289137
Fresh011
Picked101
Done000
Total12910139

Merged error: 2.8b

Counts
139 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t x) (- a z))
13.3b
(fma (- y z) (/ (- t x) (- a z)) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
8.0ms
(/ (- t x) (- a z))
1.0ms
(fma (- y z) (/ (- t x) (- a z)) x)

series144.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- t x) (- a z))
94.0ms
(fma (- y z) (/ (- t x) (- a z)) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0268450
1733425
22490423
35001421

prune183.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh459
Picked011
Done000
Total681280

Merged error: 2.7b

Counts
80 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- t x) (/ 1 (- a z)))
13.2b
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
6.0ms
(/ 1 (- a z))
14.0ms
(* (- t x) (/ 1 (- a z)))
1.0ms
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

series179.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- a z))
49.0ms
(* (- t x) (/ 1 (- a z)))
92.0ms
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0350602
11497525
25001481

prune223.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1122114
Fresh3710
Picked011
Done011
Total11511126

Merged error: 2.6b

Counts
126 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
2.1b
(* (cbrt (- y z)) (/ (- t x) (- a z)))
2.8b
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
7.3b
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
84×frac-times
58×flip3-- flip--
53×add-sqr-sqrt
43×*-un-lft-identity
40×associate-*l/
32×associate-*r*
30×add-exp-log
27×times-frac associate-*r/
19×add-cube-cbrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-prod distribute-lft-out-- difference-of-squares
9×associate-*l* pow-prod-down
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u unswap-sqr
3×cbrt-undiv fma-def div-exp
2×associate-/r/ *-commutative
1×+-commutative flip3-+ pow1/3 sum-log flip-+ div-inv
Counts
4 → 177
Calls
4 calls:
3.0ms
(cbrt (- y z))
18.0ms
(* (cbrt (- y z)) (/ (- t x) (- a z)))
26.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
4.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- y z))
610.0ms
(* (cbrt (- y z)) (/ (- t x) (- a z)))
127.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
153.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
09112598
133742346
250012273

prune420.0ms

Filtered
189 candidates to 114 candidates (60.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1872189
Fresh088
Picked101
Done022
Total18812200

Merged error: 2.6b

Counts
200 → 12

regimes312.0ms

Accuracy

26.3% (8.4b remaining)

Error of 12.0b against oracle of 3.6b and baseline of 15.0b

bsearch134.0ms

Steps
ItersRangePoint
8
3.328521043133734e-63
9.339637478705808e-61
5.887635510930617e-63
9
1.039667052481476e-80
3.443827461722442e-74
6.400579444696418e-76
0
4.8666627780759835e-109
4.983214465843013e-109
4.924938621959498e-109
7
-1.1151747913850161e-175
-5.795691522746873e-178
-1.058976957303421e-175

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03825
13825

end0.0ms

sample735.0ms

Algorithm
intervals
Results
269.0ms7835×body80valid
65.0ms510×body640valid
44.0ms270×body1280valid
38.0ms384×body320valid
16.0ms257×body160valid
3.0ms16×body2560valid