Details

Time bar (total: 15.0s)

sample28.0ms

Algorithm
intervals
Results
15.0ms383×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
01115
12613
28010
32279
45399
511379
615369
720699
825049
925129
done25129

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
21×add-sqr-sqrt
18×prod-diff
17×add-cube-cbrt
14×add-log-exp
11×associate-+l+ associate-+r+
9×distribute-lft-out--
8×flip3-- frac-add flip-- distribute-lft-out
7×associate-*r*
6×associate-*r/
5×fma-def
4×pow1 add-exp-log diff-log sum-log add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sub-neg flip3-+ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+l- associate-+r- distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
2 → 85
Calls
2 calls:
23.0ms
(+ (- d2 d3) (- d4 d1))
56.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (- d2 d3) (- d4 d1))
46.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify841.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (163.0ms)

IterNodesCost
01661212
15331078
22407947
done5001947

prune203.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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:
5.0ms
(* (cbrt d4) (cbrt d4))
0.0ms
(cbrt d4)
0.0ms
(cbrt d4)
1.0ms
(cbrt d4)

series721.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt d4) (cbrt d4))
175.0ms
(cbrt d4)
174.0ms
(cbrt d4)
172.0ms
(cbrt d4)

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: 3 (284.0ms)

IterNodesCost
065554
1122495
2449423
31993405
done5001405

prune293.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- d2 d3) (- d4 d1))
0.1b
(* (sqrt d1) (+ (- d2 d3) (- d4 d1)))
0.2b
(* (sqrt d1) (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
27×add-sqr-sqrt
21×add-cube-cbrt
18×associate-*r/ prod-diff
15×add-log-exp
12×flip3-- associate-*l* frac-add flip--
11×associate-+l+ associate-+r+
10×pow1 add-exp-log add-cbrt-cube
9×distribute-lft-out--
8×associate-*r* distribute-lft-out
7×sqrt-prod
5×distribute-rgt-in fma-def distribute-lft-in
4×diff-log pow-prod-down prod-exp sum-log cbrt-unprod
3×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u
2×sub-neg *-commutative unswap-sqr
1×+-commutative associate-+l- associate-+r- difference-of-squares
Counts
3 → 122
Calls
3 calls:
22.0ms
(+ (- d2 d3) (- d4 d1))
59.0ms
(* (sqrt d1) (+ (- d2 d3) (- d4 d1)))
57.0ms
(* (sqrt d1) (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

series252.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (- d2 d3) (- d4 d1))
140.0ms
(* (sqrt d1) (+ (- d2 d3) (- d4 d1)))
82.0ms
(* (sqrt d1) (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

simplify1.3s

Counts
131 → 131
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02192010
16851697
230531498
done50011494

prune304.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1)))) (cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1)))))
0.5b
(cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))
0.5b
(cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))
0.5b
(cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
108×associate-*r/
102×cbrt-div
68×flip3-- frac-add flip--
36×frac-times
17×flip3-+ flip-+
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log associate-*l/
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 132
Calls
4 calls:
22.0ms
(* (cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1)))) (cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1)))))
16.0ms
(cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))
16.0ms
(cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))
16.0ms
(cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

series2.5s

Counts
4 → 12
Calls
4 calls:
577.0ms
(* (cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1)))) (cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1)))))
628.0ms
(cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))
635.0ms
(cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))
623.0ms
(cbrt (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

simplify612.0ms

Counts
144 → 144
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
02596235
15925573
220705392
done50005392

prune567.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes90.0ms

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

sample650.0ms

Algorithm
intervals
Results
369.0ms11902×body80valid