Details

Time bar (total: 11.5s)

sample26.0ms

Algorithm
intervals
Results
12.0ms380×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
01115
12613
28010
32279
44989
58719
611879
716499
820199
920279
done20279

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×associate-*r*
6×associate-*r/
5×add-sqr-sqrt
4×flip3-- frac-add flip-- distribute-lft-out distribute-lft-out--
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
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 → 32
Calls
1 calls:
59.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify515.0ms

Counts
35 → 35
Iterations

Useful iterations: done (514.0ms)

IterNodesCost
094479
1311446
21297406
done5000395

prune77.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
72×prod-diff
63×add-sqr-sqrt
59×*-un-lft-identity
55×add-cube-cbrt
44×distribute-rgt-in distribute-lft-in
22×associate-+l+ associate-+r+
12×associate-*r/
10×associate-*r*
8×sub-neg
7×pow1 add-exp-log add-cbrt-cube
6×flip3-- associate-*l* flip--
5×add-log-exp
4×frac-add
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative fma-def flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 155
Calls
3 calls:
11.0ms
(* d1 (- d2 d3))
12.0ms
(* d1 (- d4 d1))
12.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

series121.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* d1 (- d2 d3))
33.0ms
(* d1 (- d4 d1))
53.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

simplify1.2s

Counts
164 → 164
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02662707
16382017
226281649
done50001645

prune288.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×pow1 add-exp-log add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 56
Calls
2 calls:
11.0ms
(* d1 (- d4 d1))
0.0ms
(fma d1 (- d2 d3) (* d1 (- d4 d1)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* d1 (- d4 d1))
53.0ms
(fma d1 (- d2 d3) (* d1 (- d4 d1)))

simplify3.2s

Counts
62 → 62
Iterations

Useful iterations: 3 (990.0ms)

IterNodesCost
0118891
1222718
2809550
34712524
done5000524

prune101.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt d4) (cbrt d4))
0.6b
(cbrt d4)
0.6b
(cbrt d4)
0.6b
(cbrt d4)

rewrite9.0ms

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:
6.0ms
(* (cbrt d4) (cbrt d4))
0.0ms
(cbrt d4)
0.0ms
(cbrt d4)
1.0ms
(cbrt d4)

series700.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt d4) (cbrt d4))
169.0ms
(cbrt d4)
171.0ms
(cbrt d4)
168.0ms
(cbrt d4)

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: 3 (325.0ms)

IterNodesCost
065554
1119443
2383423
31868405
done5000405

prune268.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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
0810
1910
done910

end0.0ms

sample701.0ms

Algorithm
intervals
Results
403.0ms11980×body80valid