Details

Time bar (total: 18.3s)

sample38.0ms

Algorithm
intervals
Results
14.0ms274×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3699
41809
55179
616989
done50009

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.9b
(/ x (* (- y z) (- t z)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
71.0ms
(* (- y z) (- t z))
28.0ms
(/ x (* (- y z) (- t z)))

series262.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* (- y z) (- t z))
205.0ms
(/ x (* (- y z) (- t z)))

simplify1.8s

Counts
91 → 91
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01761460
14371281
225201105
done50011077

prune504.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))

rewrite26.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(* (cbrt x) (cbrt x))

series1.3s

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt x)
316.0ms
(cbrt x)
304.0ms
(cbrt x)
337.0ms
(* (cbrt x) (cbrt x))

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
065554
1143443
2715423
done5001409

prune629.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1
13×add-exp-log pow1/3
12×cbrt-prod
10×add-cube-cbrt
9×add-sqr-sqrt *-un-lft-identity pow-prod-down
6×associate-*l* prod-exp add-cbrt-cube cbrt-unprod
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp
1×swap-sqr associate-*r* pow-sqr *-commutative
Counts
4 → 69
Calls
4 calls:
2.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
161.0ms
(* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

series1.4s

Counts
4 → 12
Calls
4 calls:
345.0ms
(cbrt x)
340.0ms
(cbrt x)
344.0ms
(cbrt x)
351.0ms
(* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

simplify777.0ms

Counts
81 → 81
Iterations

Useful iterations: done (774.0ms)

IterNodesCost
073723
1178676
2644458
done5000319

prune654.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.6b
(/ (/ x (- y z)) (- t z))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
20.0ms
(/ x (- y z))
55.0ms
(/ (/ x (- y z)) (- t z))

series281.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ x (- y z))
228.0ms
(/ (/ x (- y z)) (- t z))

simplify1.9s

Counts
195 → 195
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02683384
16603198
225573128
done50003122

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes717.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01425
11725
done1725

end0.0ms

sample1.6s

Algorithm
intervals
Results
527.0ms8456×body80valid