Details

Time bar (total: 6.1s)

sample28.0ms

Algorithm
intervals
Results
10.0ms253×body80valid
2.0ms17×body320valid
2.0ms13×body640valid
1.0ms10×body1280valid
0.0ms3×body160valid
0.0ms1×body2560valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0236
1465
21285
33625
410245
522965
650015

prune7.0ms

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: 14.9b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
2.2b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.4b
(* (- y z) (/ (- t x) (- a z)))

rewrite35.0ms

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))))
18.0ms
(* (- y z) (/ (- t x) (- a z)))

series329.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- t x) (- a z))
150.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
130.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0488901
12066849
25001847

prune347.0ms

Filtered
137 candidates to 97 candidates (70.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New12710137
Fresh101
Picked101
Done000
Total12910139

Merged error: 3.2b

Counts
139 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- t x) (/ 1 (- a z)))
4.1b
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
5.4b
(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
45×*-un-lft-identity
32×add-exp-log times-frac
26×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×expm1-log1p-u pow-prod-down associate-/r/ un-div-inv log1p-expm1-u
3×cbrt-undiv rec-exp fma-def 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 157
Calls
4 calls:
6.0ms
(/ 1 (- a z))
14.0ms
(* (- t x) (/ 1 (- a z)))
4.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
15.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

series363.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 1 (- a z))
51.0ms
(* (- t x) (/ 1 (- a z)))
147.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
131.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify72.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06031062
12878940
25002891

prune379.0ms

Filtered
169 candidates to 107 candidates (63.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1654169
Fresh369
Picked011
Done000
Total16811179

Merged error: 3.2b

Counts
179 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
2.1b
(* (/ (- t x) (- a z)) (cbrt (- y z)))
3.6b
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
7.8b
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
84×frac-times
58×flip3-- flip--
53×add-sqr-sqrt
43×*-un-lft-identity
37×associate-*r/
32×associate-*l*
30×add-exp-log associate-*l/
27×times-frac
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-*r* 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
(* (/ (- t x) (- a z)) (cbrt (- y z)))
25.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
4.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- y z))
241.0ms
(* (/ (- t x) (- a z)) (cbrt (- y z)))
127.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
152.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

simplify82.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
09672623
128452406
250012322

prune488.0ms

Filtered
189 candidates to 116 candidates (61.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1872189
Fresh279
Picked011
Done011
Total18911200

Merged error: 3.2b

Counts
200 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
1.7b
(* (/ (- t x) (cbrt (- a z))) (cbrt (- y z)))
3.6b
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (- t x) (cbrt (- a z))) (cbrt (- y z)))))
4.1b
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (- t x) (cbrt (- a z))) (cbrt (- y z))))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
233×add-exp-log
224×cbrt-div
219×frac-times
156×prod-exp
118×associate-*r/
112×flip3-- flip--
73×add-sqr-sqrt
68×cbrt-unprod
60×associate-*l/ add-cbrt-cube
57×*-un-lft-identity
47×associate-*l*
44×times-frac
40×cbrt-prod
39×div-exp
27×pow1 add-cube-cbrt
19×cbrt-undiv
16×pow-prod-down
15×distribute-lft-out-- difference-of-squares
12×rec-exp 1-exp
9×associate-*r*
6×add-log-exp unswap-sqr
4×expm1-log1p-u log1p-expm1-u
3×fma-def
2×associate-/r/ *-commutative
1×+-commutative flip3-+ pow1/3 sum-log flip-+ div-inv
Counts
4 → 302
Calls
4 calls:
3.0ms
(cbrt (- a z))
21.0ms
(* (/ (- t x) (cbrt (- a z))) (cbrt (- y z)))
48.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (- t x) (cbrt (- a z))) (cbrt (- y z)))))
4.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (- t x) (cbrt (- a z))) (cbrt (- y z))))))

series877.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- a z))
284.0ms
(* (/ (- t x) (cbrt (- a z))) (cbrt (- y z)))
293.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (- t x) (cbrt (- a z))) (cbrt (- y z)))))
155.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (- t x) (cbrt (- a z))) (cbrt (- y z))))))

simplify86.0ms

Algorithm
egg-herbie
Counts
314 → 314
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
019026686
150025964

prune834.0ms

Filtered
314 candidates to 166 candidates (52.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New3122314
Fresh178
Picked101
Done022
Total31411325

Merged error: 3.2b

Counts
325 → 11

regimes334.0ms

Accuracy

21.5% (8.9b remaining)

Error of 12.5b against oracle of 3.7b and baseline of 15.0b

bsearch124.0ms

Steps
ItersRangePoint
8
1.5256235659008482e+35
1.4949229839163569e+38
4.828326974899638e+36
5
1.6709006096599705e-175
3.928279750586604e-175
3.6850404799821675e-175
9
-2.5860426990811255e-166
-1.1837570975005782e-173
-1.5210010503606142e-168

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03825
13825

end0.0ms

sample697.0ms

Algorithm
intervals
Results
255.0ms7786×body80valid
65.0ms512×body640valid
42.0ms263×body1280valid
39.0ms411×body320valid
14.0ms223×body160valid
4.0ms21×body2560valid