Details

Time bar (total: 14.5s)

sample23.0ms

Algorithm
intervals
Results
8.0ms322×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2267
3627
41617
54357
610027
714717
818537
943297
done50007

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×sub-neg associate-*r/ associate-*l/
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 53
Calls
1 calls:
48.0ms
(* (+ x y) (- 1.0 z))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* (+ x y) (- 1.0 z))

simplify1.9s

Counts
56 → 56
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01341028
1426851
22366727
done5000703

prune203.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r* associate-*l/
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt flip3-+ flip-+
4×pow1 add-exp-log associate-*l* frac-add add-cbrt-cube add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×expm1-log1p-u log1p-expm1-u distribute-lft-out
1×+-commutative neg-mul-1 fma-def unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
40.0ms
(* (+ x y) (- z))
15.0ms
(+ (* (+ x y) 1.0) (* (+ x y) (- z)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (+ x y) (- z))
62.0ms
(+ (* (+ x y) 1.0) (* (+ x y) (- z)))

simplify1.6s

Counts
58 → 58
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0114775
1361633
21711586
done5000582

prune244.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
16.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (cbrt z) (cbrt z))
288.0ms
(cbrt z)
261.0ms
(cbrt z)
264.0ms
(cbrt z)

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
065554
1143443
2719423
done5000409

prune531.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 1.0) (* z z))
1.2b
(* (- (* 1.0 1.0) (* z z)) (+ x y))
8.5b
(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
8×frac-times associate-/l/
7×add-cube-cbrt flip3-- flip3-+ flip-- flip-+
5×pow1 add-log-exp
4×times-frac associate-*r/ associate-*r* associate-*l* associate-*l/ associate-/r*
3×expm1-log1p-u log1p-expm1-u distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod difference-of-squares
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in fma-neg diff-log prod-diff pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 84
Calls
3 calls:
12.0ms
(- (* 1.0 1.0) (* z z))
79.0ms
(* (- (* 1.0 1.0) (* z z)) (+ x y))
32.0ms
(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

series194.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- (* 1.0 1.0) (* z z))
64.0ms
(* (- (* 1.0 1.0) (* z z)) (+ x y))
67.0ms
(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01521584
15151494
233611275
done50001271

prune426.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes205.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11512
21912
32412
done2412

end0.0ms

sample804.0ms

Algorithm
intervals
Results
305.0ms10005×body80valid
0.0ms2×body640valid