Details

Time bar (total: 15.1s)

sample34.0ms

Algorithm
intervals
Results
16.0ms385×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
01115
12613
28110
32469
47709
539329
done50009

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite276.0ms

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:
226.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
39.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
9.0ms
(- (* d1 d2) (* d1 d3))

series206.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
74.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
62.0ms
(- (* d1 d2) (* d1 d3))

simplify3.3s

Counts
73 → 73
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01061089
1317882
22023710
done5001692

prune283.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:
41.0ms
(* d1 (- d2 d3))
1.0ms
(fma d1 (- d4 d1) (* d1 (- d2 d3)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* d1 (- d2 d3))
83.0ms
(fma d1 (- d4 d1) (* d1 (- d2 d3)))

simplify842.0ms

Counts
62 → 62
Iterations

Useful iterations: done (840.0ms)

IterNodesCost
0121891
1273718
21066570
done5002546

prune217.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite594.0ms

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:
590.0ms
(* d1 (- (+ (- d2 d3) d4) d1))

series79.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(* d1 (- (+ (- d2 d3) d4) d1))

simplify1.0s

Counts
65 → 65
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01131383
12831108
21280888
done5002816

prune123.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- d2 d3)) (cbrt (- d2 d3)))
0.6b
(cbrt (- d2 d3))
0.6b
(cbrt (- d2 d3))
0.6b
(cbrt (- d2 d3))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
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 → 109
Calls
4 calls:
60.0ms
(* (cbrt (- d2 d3)) (cbrt (- d2 d3)))
4.0ms
(cbrt (- d2 d3))
4.0ms
(cbrt (- d2 d3))
8.0ms
(cbrt (- d2 d3))

series839.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (cbrt (- d2 d3)) (cbrt (- d2 d3)))
252.0ms
(cbrt (- d2 d3))
224.0ms
(cbrt (- d2 d3))
192.0ms
(cbrt (- d2 d3))

simplify1.0s

Counts
121 → 121
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01351434
12951320
210271262
done50011211

prune594.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
11515
done1515

end0.0ms

sample1.6s

Algorithm
intervals
Results
982.0ms11813×body80valid