Details

Time bar (total: 7.4s)

sample24.0ms

Algorithm
intervals
Results
8.0ms258×body80valid
2.0ms15×body640valid
1.0ms8×body1280valid
1.0ms10×body320valid
0.0ms8×body160valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0236
1446
21226
33276
48686
517276
635446
750016

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.3b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.2b
(* (- y z) (/ (- t x) (- a z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×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/
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 → 119
Calls
3 calls:
10.0ms
(/ (- t x) (- a z))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
32.0ms
(* (- y z) (/ (- t x) (- a z)))

series331.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- t x) (- a z))
149.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
130.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0473869
12012820
25001820

prune316.0ms

Filtered
128 candidates to 88 candidates (68.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.8b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.5b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
77.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series750.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- a z))
146.0ms
(cbrt (- a z))
300.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
155.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07441831
132871663
250011576

prune445.0ms

Filtered
146 candidates to 103 candidates (70.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.0b
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
8.0b
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
166×add-sqr-sqrt
115×cbrt-prod
103×*-un-lft-identity
80×associate-*l*
76×cbrt-div
61×associate-*r*
59×add-cube-cbrt
42×associate-/r/
36×add-exp-log
33×flip3-- flip--
22×add-cbrt-cube distribute-lft-out-- difference-of-squares
21×frac-times
20×unswap-sqr
14×cbrt-undiv div-exp
11×associate-*r/ associate-*l/
10×prod-exp cbrt-unprod
6×pow1 div-inv add-log-exp
2×pow1/3
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 230
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
153.0ms
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
3.0ms
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

series757.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (- a z))
149.0ms
(cbrt (- a z))
301.0ms
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
157.0ms
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013434962
150014723

prune1.1s

Filtered
242 candidates to 201 candidates (83.1%)
Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 3.2b

localize26.0ms

Local error

Found 4 expressions with local error:

1.7b
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
1.7b
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
1.7b
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
5.5b
(+ x (* (/ (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))) (sqrt (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (* (/ (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (sqrt (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (- t x) (cbrt (cbrt (- a z)))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
39×cbrt-div
24×associate-/r/
18×flip3-- flip--
16×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×frac-times
10×add-cube-cbrt
6×associate-*r/ associate-*l/ add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3 div-inv distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 89
Calls
4 calls:
13.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
10.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
10.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
3.0ms
(+ x (* (/ (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))) (sqrt (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (* (/ (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (sqrt (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (- t x) (cbrt (cbrt (- a z)))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
378.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
372.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
364.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
160.0ms
(+ x (* (/ (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))) (sqrt (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (* (/ (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (sqrt (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (- t x) (cbrt (cbrt (- a z)))))))

simplify50.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03892112
110861962
250011956

prune563.0ms

Filtered
101 candidates to 83 candidates (82.2%)
Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 3.2b

regimes410.0ms

Accuracy

56.3% (3.6b remaining)

Error of 7.6b against oracle of 4.0b and baseline of 12.3b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05468
15468

end0.0ms

sample670.0ms

Algorithm
intervals
Results
243.0ms7877×body80valid
57.0ms457×body640valid
44.0ms273×body1280valid
35.0ms403×body320valid
15.0ms256×body160valid
3.0ms19×body2560valid