Details

Time bar (total: 5.3s)

sample24.0ms

Algorithm
intervals
Results
8.0ms252×body80valid
2.0ms12×body640valid
1.0ms13×body320valid
1.0ms4×body1280valid
0.0ms8×body160valid
0.0ms1×body2560valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514986
634106
750016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- t x))
2.6b
(+ x (/ (* (- y z) (- t x)) (- a z)))
18.1b
(/ (* (- y z) (- t x)) (- a z))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
17.0ms
(* (- y z) (- t x))
10.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
12.0ms
(/ (* (- y z) (- t x)) (- a z))

series315.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (- y z) (- t x))
153.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
127.0ms
(/ (* (- y z) (- t x)) (- a z))

simplify54.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0466583
12158534
25001534

prune236.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.3b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
5.3b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite88.0ms

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))
75.0ms
(* (/ (- 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)))))

series752.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- a z))
152.0ms
(cbrt (- a z))
296.0ms
(* (/ (- 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)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07441831
132871663
250011576

prune444.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
3.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

series608.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- a z))
151.0ms
(cbrt (- a z))
146.0ms
(cbrt (- a z))
155.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

simplify134.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0262689
1810633
24502622
35003616

prune300.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.8b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
3.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (* (cbrt 1) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- a z))
147.0ms
(cbrt (- a z))
151.0ms
(cbrt (- a z))
158.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (* (cbrt 1) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))))

simplify35.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0266723
1834663
25001654

prune302.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.8b

regimes367.0ms

Accuracy

22.6% (7.1b remaining)

Error of 10.5b against oracle of 3.4b and baseline of 12.6b

bsearch45.0ms

Steps
ItersRangePoint
7
5.226502503766466e+112
2.8098248637561653e+114
1.718372949138872e+114
0
-2.1099358303367442e+215
-2.0839512261664747e+215
-2.0969435282516095e+215

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04227
14227

end0.0ms

sample697.0ms

Algorithm
intervals
Results
248.0ms7770×body80valid
62.0ms485×body640valid
44.0ms452×body320valid
39.0ms272×body1280valid
16.0ms259×body160valid
3.0ms16×body2560valid