Details

Time bar (total: 9.8s)

sample46.0ms

Algorithm
intervals
Results
15.0ms317×body80valid

simplify60.0ms

Counts
1 → 1
Iterations
IterNodes
done89
589
483
352
224
111
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
2.2b
(* x (- 1.0 (* y z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
prod-diff
*-un-lft-identity add-cube-cbrt
distribute-rgt-in distribute-lft-in
pow1 add-cbrt-cube add-exp-log add-log-exp
sub-neg fma-neg associate-*r* associate-*l*
expm1-log1p-u flip3-- associate-*r/ log1p-expm1-u flip--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
9.0ms
(- 1.0 (* y z))
29.0ms
(* x (- 1.0 (* y z)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- 1.0 (* y z))
64.0ms
(* x (- 1.0 (* y z)))

simplify2.7s

Counts
58 → 58
Iterations
IterNodes
done5000
33830
2742
1192
081

prune347.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 1 expressions with local error:

2.2b
(* x (+ (fma y (- z) (pow (cbrt 1.0) 3)) (* (+ z (- z)) y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
associate-*r/
distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
22.0ms
(* x (+ (fma y (- z) (pow (cbrt 1.0) 3)) (* (+ z (- z)) y)))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(* x (+ (fma y (- z) (pow (cbrt 1.0) 3)) (* (+ z (- z)) y)))

simplify710.0ms

Counts
27 → 27
Iterations
IterNodes
done5002
2806
1183
058

prune236.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.4b
(cbrt (- 1.0 (* y z)))
2.4b
(cbrt (- 1.0 (* y z)))
2.4b
(cbrt (- 1.0 (* y z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
flip3-- pow1/3 flip--
swap-sqr associate-*r* associate-*l* 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 → 95
Calls
4 calls:
33.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
4.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
277.0ms
(cbrt (- 1.0 (* y z)))
289.0ms
(cbrt (- 1.0 (* y z)))
307.0ms
(cbrt (- 1.0 (* y z)))

simplify734.0ms

Counts
107 → 107
Iterations
IterNodes
done5001
21736
1398
0151

prune795.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* (- x) y) z))
6.2b
(* (* (- x) y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
distribute-lft-neg-out
add-log-exp
add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative sum-log fma-def flip3-+ associate-*l* unsub-neg *-commutative flip-+
Counts
2 → 37
Calls
2 calls:
7.0ms
(+ (* x 1.0) (* (* (- x) y) z))
17.0ms
(* (* (- x) y) z)

series92.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ (* x 1.0) (* (* (- x) y) z))
32.0ms
(* (* (- x) y) z)

simplify998.0ms

Counts
43 → 43
Iterations
IterNodes
done5000
21484
1215
074

prune203.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes531.0ms

Accuracy

94.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify11.0ms

Iterations
IterNodes
done50
350
247
139
025

end0.0ms

sample744.0ms

Algorithm
intervals
Results
320.0ms9601×body80valid