Details

Time bar (total: 18.2s)

sample38.0ms

Algorithm
intervals
Results
17.0ms384×body80valid

simplify6.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
01115
12613
28110
32419
45459
59819
613579
718519
822479
923589
done23589

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (- (+ (- d2 d3) d4) d1))

rewrite499.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
30×prod-diff
23×add-sqr-sqrt
19×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
14×distribute-lft-out
10×distribute-lft-out--
7×associate-*r*
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×sub-neg associate-*r/ associate--l+
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
Counts
1 → 62
Calls
1 calls:
496.0ms
(* d1 (- (+ (- d2 d3) d4) d1))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* d1 (- (+ (- d2 d3) d4) d1))

simplify2.0s

Counts
65 → 65
Iterations

Useful iterations: 3 (718.0ms)

IterNodesCost
01131383
12291098
2616884
33449780
done5000780

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b
(- (* d1 d2) (* d1 d3))
0.0b
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity diff-log
5×prod-diff
4×fma-def fma-neg sum-log
3×pow1 add-exp-log expm1-log1p-u sub-neg associate-+l+ add-cbrt-cube log1p-expm1-u
2×associate-+l- flip3-- flip-- distribute-lft-out--
1×+-commutative associate--l- flip3-+ associate--l+ flip-+ difference-of-squares
Counts
3 → 64
Calls
3 calls:
193.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
16.0ms
(- (* d1 d2) (* d1 d3))
59.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series169.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
48.0ms
(- (* d1 d2) (* d1 d3))
47.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify1.1s

Counts
73 → 73
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01061089
1297848
21106692
done5000659

prune181.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- d1) d1 (pow (cbrt (* d1 (+ d4 (- d2 d3)))) 3))
0.0b
(* d1 (+ d4 (- d2 d3)))
0.8b
(pow (cbrt (* d1 (+ d4 (- d2 d3)))) 3)
1.2b
(cbrt (* d1 (+ d4 (- d2 d3))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
11×add-sqr-sqrt
9×add-cube-cbrt
7×pow1 add-exp-log
6×associate-*r/ add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u unpow-prod-down cbrt-div cube-prod log1p-expm1-u add-log-exp
3×cbrt-prod pow-unpow flip3-+ associate-*l* flip-+
2×cube-div pow-pow pow1/3 distribute-lft-out
1×distribute-rgt-in cube-mult pow-to-exp distribute-lft-in unpow3 pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod fma-udef distribute-lft-out-- rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 79
Calls
4 calls:
0.0ms
(fma (- d1) d1 (pow (cbrt (* d1 (+ d4 (- d2 d3)))) 3))
60.0ms
(* d1 (+ d4 (- d2 d3)))
5.0ms
(pow (cbrt (* d1 (+ d4 (- d2 d3)))) 3)
23.0ms
(cbrt (* d1 (+ d4 (- d2 d3))))

series683.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(fma (- d1) d1 (pow (cbrt (* d1 (+ d4 (- d2 d3)))) 3))
43.0ms
(* d1 (+ d4 (- d2 d3)))
253.0ms
(pow (cbrt (* d1 (+ d4 (- d2 d3)))) 3)
214.0ms
(cbrt (* d1 (+ d4 (- d2 d3))))

simplify812.0ms

Counts
91 → 91
Iterations

Useful iterations: done (809.0ms)

IterNodesCost
01491234
13911041
21276927
done5000912

prune286.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (+ (- d2 d3) d4) d1)) (cbrt (- (+ (- d2 d3) d4) d1)))
0.6b
(cbrt (- (+ (- d2 d3) d4) d1))
0.6b
(cbrt (- (+ (- d2 d3) d4) d1))
0.6b
(cbrt (- (+ (- d2 d3) d4) d1))

rewrite938.0ms

Algorithm
rewrite-expression-head
Rules
138×*-un-lft-identity
77×cbrt-prod
52×distribute-lft-out--
37×add-sqr-sqrt
26×distribute-lft-out
22×swap-sqr
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×associate-*r* associate-*l*
9×flip3-- pow1/3 flip--
7×difference-of-squares
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 → 131
Calls
4 calls:
704.0ms
(* (cbrt (- (+ (- d2 d3) d4) d1)) (cbrt (- (+ (- d2 d3) d4) d1)))
79.0ms
(cbrt (- (+ (- d2 d3) d4) d1))
82.0ms
(cbrt (- (+ (- d2 d3) d4) d1))
67.0ms
(cbrt (- (+ (- d2 d3) d4) d1))

series1.1s

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (cbrt (- (+ (- d2 d3) d4) d1)) (cbrt (- (+ (- d2 d3) d4) d1)))
269.0ms
(cbrt (- (+ (- d2 d3) d4) d1))
318.0ms
(cbrt (- (+ (- d2 d3) d4) d1))
258.0ms
(cbrt (- (+ (- d2 d3) d4) d1))

simplify1.7s

Counts
143 → 143
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01272726
12612518
27432370
323662051
done50002025

prune304.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample802.0ms

Algorithm
intervals
Results
379.0ms11842×body80valid