Details

Time bar (total: 11.6s)

sample42.0ms

Algorithm
intervals
Results
17.0ms306×body80valid
3.0ms12×body640valid
1.0ms6×body320valid
0.0ms1×body1280valid

simplify73.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1199
2457
3737
4867
5937
done937

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 3.0 d2) d3))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
95.0ms
(* d1 (+ (+ 3.0 d2) d3))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify462.0ms

Counts
29 → 29
Iterations

Useful iterations: done (460.0ms)

IterNodesCost
053281
1171265
2759236
done5000234

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

rewrite741.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-+ flip-+
29×*-un-lft-identity
28×frac-times
20×cbrt-prod
14×associate-*l/
13×pow1 add-exp-log
12×distribute-lft-out
9×add-sqr-sqrt add-cube-cbrt
8×add-cbrt-cube associate-*r*
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 105
Calls
4 calls:
13.0ms
(cbrt (+ (+ 3.0 d2) d3))
14.0ms
(cbrt (+ (+ 3.0 d2) d3))
18.0ms
(cbrt (+ (+ 3.0 d2) d3))
688.0ms
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (+ (+ 3.0 d2) d3))
126.0ms
(cbrt (+ (+ 3.0 d2) d3))
129.0ms
(cbrt (+ (+ 3.0 d2) d3))
54.0ms
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

simplify1.5s

Counts
117 → 117
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01722948
14942808
219612426
done50002237

prune638.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
3.1b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
7.6b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
13.9b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-cbrt-cube add-exp-log
12×add-cube-cbrt
9×distribute-rgt-in distribute-lft-in
8×associate-*r* distribute-lft-out
7×associate-*l*
6×associate-/r* flip3-+ times-frac swap-sqr associate--l+ associate-*r/ flip-+ add-log-exp
4×expm1-log1p-u frac-times flip3-- log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-diff prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×pow2 clear-num frac-2neg pow-plus fma-neg diff-log pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 127
Calls
4 calls:
27.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
23.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
101.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
102.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series344.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
68.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
106.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
152.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify2.4s

Counts
139 → 139
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02062337
16492194
244071909
done50001904

prune641.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

2.1b
(- (* d3 d3) (* (+ 3.0 d2) d3))
2.6b
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
3.6b
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
25.2b
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite539.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
28×distribute-lft-out
20×unpow-prod-down cube-prod
18×associate-/r/
16×flip3-+ frac-add flip-+
14×fma-def
13×add-sqr-sqrt associate-*r*
11×add-cbrt-cube add-exp-log add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/ add-log-exp
6×pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u
3×associate-/r* times-frac associate-*l*
2×cbrt-undiv div-exp prod-exp sum-cubes cbrt-unprod associate-/l/
1×distribute-rgt-in cube-mult +-commutative clear-num sum-log sub-neg frac-2neg distribute-lft-in distribute-rgt-out-- fma-neg diff-log unpow3 prod-diff pow-prod-down *-commutative div-inv associate-/l* unswap-sqr sqr-pow
Counts
4 → 131
Calls
4 calls:
13.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
114.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
258.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
146.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series631.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
69.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
245.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
285.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify465.0ms

Counts
143 → 143
Iterations

Useful iterations: done (461.0ms)

IterNodesCost
02573407
19132971
done50012670

prune753.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample1.1s

Algorithm
intervals
Results
619.0ms9543×body80valid
35.0ms224×body640valid
25.0ms181×body320valid
16.0ms79×body1280valid
6.0ms76×body160valid