Details

Time bar (total: 11.4s)

sample40.0ms

Algorithm
intervals
Results
17.0ms293×body80valid

simplify228.0ms

Counts
1 → 1
Iterations
IterNodes
done180
11180
10178
9172
8168
7157
6145
5120
489
356
229
114
08

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.5b
(/ (* x (- y z)) (- t z))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×prod-diff add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
add-cbrt-cube add-exp-log
associate-/r* times-frac associate-*r*
pow1 associate-*r/
flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
expm1-log1p-u cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp associate-/l/
clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
37.0ms
(* x (- y z))
29.0ms
(/ (* x (- y z)) (- t z))

series178.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* x (- y z))
110.0ms
(/ (* x (- y z)) (- t z))

simplify913.0ms

Counts
83 → 83
Iterations
IterNodes
done5001
21622
1398
0157

prune356.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.9b
(/ x (/ (- t z) (- y z)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
add-cbrt-cube add-exp-log
associate-/l*
flip3-- div-inv flip--
cbrt-undiv div-exp
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
div-sub
Counts
2 → 198
Calls
2 calls:
37.0ms
(/ (- t z) (- y z))
25.0ms
(/ x (/ (- t z) (- y z)))

series296.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (- t z) (- y z))
226.0ms
(/ x (/ (- t z) (- y z)))

simplify1.7s

Counts
204 → 204
Iterations
IterNodes
done5001
23851
1743
0274

prune919.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- t z)) (cbrt (- t z)))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
flip3-- pow1/3 flip-- distribute-lft-out--
associate-*r* associate-*l*
difference-of-squares
add-exp-log
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
39.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))

series883.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
217.0ms
(cbrt (- y z))
220.0ms
(cbrt (- y z))
242.0ms
(cbrt (- y z))

simplify869.0ms

Counts
121 → 121
Iterations
IterNodes
done5001
21162
1350
0166

prune774.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
2.9b
(/ x (* (/ (/ 1 (cbrt (- y z))) (cbrt (- y z))) (/ (- t z) (cbrt (- y z)))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
28×div-exp
24×add-cbrt-cube
16×cbrt-undiv
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
10×prod-exp
add-cube-cbrt
cbrt-div cbrt-unprod
expm1-log1p-u pow1 log1p-expm1-u add-log-exp
times-frac flip3-- pow1/3 associate-/r/ flip-- associate-/l* distribute-lft-out-- difference-of-squares
rec-exp 1-exp
frac-times clear-num associate-/r* frac-2neg associate-*l/ associate-*r/ div-inv
Counts
4 → 91
Calls
4 calls:
7.0ms
(cbrt (- y z))
6.0ms
(cbrt (- y z))
6.0ms
(cbrt (- y z))
89.0ms
(/ x (* (/ (/ 1 (cbrt (- y z))) (cbrt (- y z))) (/ (- t z) (cbrt (- y z)))))

series840.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt (- y z))
220.0ms
(cbrt (- y z))
271.0ms
(cbrt (- y z))
108.0ms
(/ x (* (/ (/ 1 (cbrt (- y z))) (cbrt (- y z))) (/ (- t z) (cbrt (- y z)))))

simplify962.0ms

Counts
103 → 103
Iterations
IterNodes
done5000
22166
1496
0179

prune590.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes484.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
014

end0.0ms

sample973.0ms

Algorithm
intervals
Results
450.0ms8759×body80valid