Details

Time bar (total: 12.1s)

sample68.0ms

Algorithm
intervals
Results
34.0ms382×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
01115
12613
28110
32469
47709
539329
done50009

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite430.0ms

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:
424.0ms
(* d1 (- (+ (- d2 d3) d4) d1))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(* d1 (- (+ (- d2 d3) d4) d1))

simplify896.0ms

Counts
65 → 65
Iterations

Useful iterations: done (893.0ms)

IterNodesCost
01131383
12831108
21280888
done5002816

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))

rewrite251.0ms

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:
9.0ms
(- (* d1 d2) (* d1 d3))
200.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
41.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series179.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (* d1 d2) (* d1 d3))
70.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
60.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify1.9s

Counts
73 → 73
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01061089
1315882
21823710
done5000692

prune202.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:
0.0ms
(fma d1 (- d4 d1) (* d1 (- d2 d3)))
28.0ms
(* d1 (- d2 d3))

series118.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(fma d1 (- d4 d1) (* d1 (- d2 d3)))
47.0ms
(* d1 (- d2 d3))

simplify633.0ms

Counts
62 → 62
Iterations

Useful iterations: done (631.0ms)

IterNodesCost
0121891
1273718
21065570
done5000546

prune163.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt associate-*r*
14×sqrt-div
12×*-un-lft-identity
11×sqrt-prod
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
8×add-cube-cbrt
7×flip3-- flip--
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×fma-udef
Counts
3 → 71
Calls
3 calls:
0.0ms
(fma d1 (- d4 d1) (* (* d1 (sqrt (- d2 d3))) (sqrt (- d2 d3))))
26.0ms
(* d1 (sqrt (- d2 d3)))
77.0ms
(* (* d1 (sqrt (- d2 d3))) (sqrt (- d2 d3)))

series241.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(fma d1 (- d4 d1) (* (* d1 (sqrt (- d2 d3))) (sqrt (- d2 d3))))
115.0ms
(* d1 (sqrt (- d2 d3)))
53.0ms
(* (* d1 (sqrt (- d2 d3))) (sqrt (- d2 d3)))

simplify1.1s

Counts
80 → 80
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01381155
1355868
21693776
done5001753

prune272.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes114.0ms

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 (0.0ms)

IterNodesCost
01217
11617
done1617

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s11806×body80valid