Details

Time bar (total: 12.8s)

sample20.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1179
2249
3489
4779
51049
61299
71459
81589
91659
101709
112029
122649
132889
143389
154049
164369
175369
186529
196689
206729
done6729

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.3b
(* (/ (- x y) (- z y)) t)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
13.0ms
(/ (- x y) (- z y))
29.0ms
(* (/ (- x y) (- z y)) t)

series141.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- x y) (- z y))
93.0ms
(* (/ (- x y) (- z y)) t)

simplify1.8s

Counts
112 → 112
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01471339
13731303
211331219
342811219
done50001217

prune219.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))

series575.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- x y))
145.0ms
(cbrt (- z y))
141.0ms
(cbrt (- z y))
142.0ms
(cbrt (- z y))

simplify2.1s

Counts
80 → 80
Iterations

Useful iterations: 4 (612.0ms)

IterNodesCost
0118784
1242760
2530728
31377676
44709628
done5000628

prune293.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- z y) (- x y)))
1.3b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
367×times-frac
298×add-sqr-sqrt
286×*-un-lft-identity
144×add-cube-cbrt
98×associate-*l*
70×distribute-lft-out-- difference-of-squares
32×add-exp-log
31×associate-/r*
16×associate-/r/ add-cbrt-cube
14×div-exp
9×div-inv
7×flip3-- prod-exp flip--
6×cbrt-undiv
5×pow1 unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod associate-/l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 278
Calls
2 calls:
15.0ms
(/ 1 (/ (- z y) (- x y)))
57.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series284.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(/ 1 (/ (- z y) (- x y)))
152.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify1.5s

Counts
284 → 284
Iterations

Useful iterations: 2 (301.0ms)

IterNodesCost
03354638
18374039
227293464
done50013464

prune462.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))

series591.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- x y))
145.0ms
(cbrt (- z y))
150.0ms
(cbrt (- z y))
147.0ms
(cbrt (- z y))

simplify2.4s

Counts
80 → 80
Iterations

Useful iterations: 4 (617.0ms)

IterNodesCost
0118784
1242760
2530728
31377676
44709628
done5000628

prune313.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes167.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01837
12137
done2137

end0.0ms

sample452.0ms

Algorithm
intervals
Results
231.0ms8699×body80valid