Details

Time bar (total: 8.0s)

sample21.0ms

Algorithm
intervals
Results
10.0ms331×body80valid
0.0ms1×body1280valid

simplify210.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
01113
12012
24910
31159
42249
52599
62719
done2719

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 32.0 (+ d2 (+ d3 5.0)))
0.0b
(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
12×distribute-lft-out
11×add-log-exp
7×add-sqr-sqrt
6×associate-*r* sum-log
5×add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube
3×fma-def associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 49
Calls
2 calls:
22.0ms
(+ 32.0 (+ d2 (+ d3 5.0)))
86.0ms
(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

series47.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ 32.0 (+ d2 (+ d3 5.0)))
33.0ms
(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

simplify1.3s

Counts
55 → 55
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
079565
1219534
2727481
33644481
done5001481

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (+ d2 (+ d3 5.0)))
0.0b
(+ (* d1 32.0) (* d1 (+ d2 (+ d3 5.0))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
6×add-sqr-sqrt
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out add-log-exp
3×associate-*l*
2×distribute-rgt-in expm1-log1p-u associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 43
Calls
2 calls:
27.0ms
(* d1 (+ d2 (+ d3 5.0)))
3.0ms
(+ (* d1 32.0) (* d1 (+ d2 (+ d3 5.0))))

series71.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* d1 (+ d2 (+ d3 5.0)))
39.0ms
(+ (* d1 32.0) (* d1 (+ d2 (+ d3 5.0))))

simplify1.7s

Counts
49 → 49
Iterations

Useful iterations: 3 (507.0ms)

IterNodesCost
082576
1252491
2905451
34522450
done5000450

prune100.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ d2 (+ d3 5.0)))
0.6b
(cbrt (+ d2 (+ d3 5.0)))
0.6b
(cbrt (+ d2 (+ d3 5.0)))
0.6b
(* (cbrt (+ d2 (+ d3 5.0))) (cbrt (+ d2 (+ d3 5.0))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×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 → 113
Calls
4 calls:
7.0ms
(cbrt (+ d2 (+ d3 5.0)))
7.0ms
(cbrt (+ d2 (+ d3 5.0)))
7.0ms
(cbrt (+ d2 (+ d3 5.0)))
60.0ms
(* (cbrt (+ d2 (+ d3 5.0))) (cbrt (+ d2 (+ d3 5.0))))

series414.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (+ d2 (+ d3 5.0)))
105.0ms
(cbrt (+ d2 (+ d3 5.0)))
105.0ms
(cbrt (+ d2 (+ d3 5.0)))
99.0ms
(* (cbrt (+ d2 (+ d3 5.0))) (cbrt (+ d2 (+ d3 5.0))))

simplify1.1s

Counts
125 → 125
Iterations

Useful iterations: 3 (393.0ms)

IterNodesCost
01422049
13261875
28461761
323081542
done50001542

prune339.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

2.9b
(- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0)))
9.4b
(/ (* (cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0)))) (cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0))))) (* (cbrt (- d2 (+ d3 5.0))) (cbrt (- d2 (+ d3 5.0)))))
21.5b
(cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0))))
21.5b
(cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
15×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u
3×difference-of-squares
2×pow1/3 associate--r+
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in times-frac fma-neg diff-log prod-diff clear-num associate-/r* div-inv associate-/l*
Counts
4 → 90
Calls
4 calls:
3.0ms
(- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0)))
32.0ms
(/ (* (cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0)))) (cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0))))) (* (cbrt (- d2 (+ d3 5.0))) (cbrt (- d2 (+ d3 5.0)))))
2.0ms
(cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0))))
3.0ms
(cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0))))

series542.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0)))
190.0ms
(/ (* (cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0)))) (cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0))))) (* (cbrt (- d2 (+ d3 5.0))) (cbrt (- d2 (+ d3 5.0)))))
163.0ms
(cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0))))
153.0ms
(cbrt (- (* d2 d2) (* (+ d3 5.0) (+ d3 5.0))))

simplify649.0ms

Counts
102 → 102
Iterations

Useful iterations: done (640.0ms)

IterNodesCost
01773111
14792821
215042292
done50022284

prune516.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes85.0ms

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
099
1139
done139

end0.0ms

sample546.0ms

Algorithm
intervals
Results
310.0ms10070×body80valid
2.0ms15×body640valid
1.0ms14×body320valid
1.0ms7×body1280valid
0.0ms6×body160valid