Details

Time bar (total: 9.5s)

sample29.0ms

Algorithm
intervals
Results
15.0ms448×body80valid

simplify808.0ms

Counts
1 → 1
Iterations

Useful iterations: 7 (258.0ms)

IterNodesCost
01115
12314
25814
310614
419114
534214
672614
7191813
done500113

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z x) y)
0.2b
(* (+ x z) (/ (- z x) y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-*l*
3×associate-/r*
2×cbrt-undiv expm1-log1p-u frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- distribute-lft-out
Counts
2 → 85
Calls
2 calls:
13.0ms
(/ (- z x) y)
24.0ms
(* (+ x z) (/ (- z x) y))

series96.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- z x) y)
62.0ms
(* (+ x z) (/ (- z x) y))

simplify665.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
01361030
1348978
21608904
done5001904

prune235.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x z)) (cbrt (+ x z)))
0.6b
(cbrt (+ x z))
0.6b
(cbrt (+ x z))
0.6b
(cbrt (+ x z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
21.0ms
(* (cbrt (+ x z)) (cbrt (+ x z)))
2.0ms
(cbrt (+ x z))
5.0ms
(cbrt (+ x z))
2.0ms
(cbrt (+ x z))

series695.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (cbrt (+ x z)) (cbrt (+ x z)))
163.0ms
(cbrt (+ x z))
162.0ms
(cbrt (+ x z))
159.0ms
(cbrt (+ x z))

simplify2.3s

Counts
115 → 115
Iterations

Useful iterations: 3 (558.0ms)

IterNodesCost
01201316
12611198
29081128
336201051
done50001051

prune396.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- z x) y)
0.2b
(* (+ x z) (cbrt (pow (/ (- z x) y) 3)))
0.4b
(pow (/ (- z x) y) 3)
24.9b
(cbrt (pow (/ (- z x) y) 3))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
132×add-sqr-sqrt
119×*-un-lft-identity
107×times-frac
94×cbrt-prod
73×add-cube-cbrt
59×unpow-prod-down cube-prod
47×associate-*r*
22×distribute-lft-out-- difference-of-squares
11×add-exp-log
10×add-cbrt-cube
7×pow1 div-inv unswap-sqr
5×cube-div associate-/l*
4×expm1-log1p-u cbrt-div associate-*l* log1p-expm1-u add-log-exp sqr-pow
3×cube-mult pow-unpow unpow3 associate-/r*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ pow-exp flip-+ associate-/l/ rem-cube-cbrt
1×pow-to-exp flip3-- pow-pow frac-2neg pow1/3 div-sub associate-*r/ pow-prod-down prod-exp clear-num *-commutative flip-- rem-cbrt-cube cbrt-unprod distribute-lft-out
Counts
4 → 232
Calls
4 calls:
9.0ms
(/ (- z x) y)
60.0ms
(* (+ x z) (cbrt (pow (/ (- z x) y) 3)))
9.0ms
(pow (/ (- z x) y) 3)
9.0ms
(cbrt (pow (/ (- z x) y) 3))

series271.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (- z x) y)
105.0ms
(* (+ x z) (cbrt (pow (/ (- z x) y) 3)))
57.0ms
(pow (/ (- z x) y) 3)
68.0ms
(cbrt (pow (/ (- z x) y) 3))

simplify1.8s

Counts
244 → 244
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02623613
16942889
232792643
done50002641

prune551.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

12.1b
(/ (* (+ x z) (- z x)) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
6×add-exp-log add-cbrt-cube
4×frac-times
3×add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip3-+ times-frac associate-/r* flip-- flip-+
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
17.0ms
(/ (* (+ x z) (- z x)) y)

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (* (+ x z) (- z x)) y)

simplify461.0ms

Counts
34 → 34
Iterations

Useful iterations: done (459.0ms)

IterNodesCost
080434
1250409
21037355
done5000354

prune96.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample754.0ms

Algorithm
intervals
Results
467.0ms13783×body80valid