Details

Time bar (total: 11.8s)

sample44.0ms

Algorithm
intervals
Results
22.0ms382×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
01115
12513
26911
31939
45869
530979
done50019

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite163.0ms

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 distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
162.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

simplify763.0ms

Counts
33 → 33
Iterations

Useful iterations: 2 (232.0ms)

IterNodesCost
091459
1314432
21565398
done5000398

prune88.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
6×diff-log
4×add-sqr-sqrt sum-log
3×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
2×associate-+l- associate-+l+ flip3-- flip--
1×+-commutative associate--l- flip3-+ associate--l+ flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 45
Calls
3 calls:
14.0ms
(- (* d1 d2) (* d1 d3))
212.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
46.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series184.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (* d1 d2) (* d1 d3))
76.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
54.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify1.1s

Counts
54 → 54
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
088867
1274689
21586571
done5000571

prune183.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite491.0ms

Algorithm
rewrite-expression-head
Rules
90×sqrt-div
60×flip3-- frac-add flip--
54×associate-*r/
36×frac-times
31×*-un-lft-identity
20×associate-*r*
15×flip3-+ sqrt-prod flip-+
11×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
8×distribute-lft-out distribute-lft-out--
7×add-cube-cbrt
6×associate-*l/
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-commutative add-log-exp unswap-sqr
Counts
2 → 105
Calls
2 calls:
181.0ms
(* d1 (sqrt (+ (- d4 d1) (- d2 d3))))
292.0ms
(* (* d1 (sqrt (+ (- d4 d1) (- d2 d3)))) (sqrt (+ (- d4 d1) (- d2 d3))))

series420.0ms

Counts
2 → 6
Calls
2 calls:
276.0ms
(* d1 (sqrt (+ (- d4 d1) (- d2 d3))))
144.0ms
(* (* d1 (sqrt (+ (- d4 d1) (- d2 d3)))) (sqrt (+ (- d4 d1) (- d2 d3))))

simplify1.6s

Counts
111 → 111
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02324783
16614141
228843899
done50003890

prune399.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×associate-*r/
12×associate-*l*
11×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
8×flip3-- associate-*r* frac-add flip--
7×add-cube-cbrt sqrt-prod
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod distribute-lft-out distribute-lft-out--
2×flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
Counts
2 → 65
Calls
2 calls:
121.0ms
(* (sqrt d1) (+ (- d4 d1) (- d2 d3)))
149.0ms
(* (sqrt d1) (* (sqrt d1) (+ (- d4 d1) (- d2 d3))))

series308.0ms

Counts
2 → 6
Calls
2 calls:
201.0ms
(* (sqrt d1) (+ (- d4 d1) (- d2 d3)))
107.0ms
(* (sqrt d1) (* (sqrt d1) (+ (- d4 d1) (- d2 d3))))

simplify1.3s

Counts
71 → 71
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01421227
14891165
22794949
done5000933

prune215.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes164.0ms

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

sample1.8s

Algorithm
intervals
Results
1.3s11806×body80valid