Details

Time bar (total: 17.1s)

sample52.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
10.0ms256×body80valid

simplify75.0ms

Counts
1 → 1
Iterations
IterNodes
done117
5117
4113
376
241
118
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (+ (+ b c) d))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
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 → 26
Calls
1 calls:
102.0ms
(* a (+ (+ b c) d))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* a (+ (+ b c) d))

simplify940.0ms

Counts
29 → 29
Iterations
IterNodes
done5000
2764
1170
054

prune187.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.5b
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×pow-prod-up add-cube-cbrt
9×flip3-+ associate-*r* flip-+
8×add-cbrt-cube add-exp-log
7×associate-*l*
6×pow-sqr sqrt-prod
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod
Counts
4 → 115
Calls
4 calls:
99.0ms
(* a (+ (+ b c) d))
27.0ms
(sqrt (* a (+ (+ b c) d)))
17.0ms
(sqrt (* a (+ (+ b c) d)))
127.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* a (+ (+ b c) d))
214.0ms
(sqrt (* a (+ (+ b c) d)))
242.0ms
(sqrt (* a (+ (+ b c) d)))
45.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify1.4s

Counts
127 → 127
Iterations
IterNodes
done5000
21977
1393
0141

prune638.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.4b
(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
27×pow-prod-down
26×sqrt-pow1
21×add-sqr-sqrt *-un-lft-identity
20×associate-*r/
17×pow1/2 associate-*r*
16×sqrt-div
15×sqrt-prod
13×add-cbrt-cube add-exp-log
11×add-cube-cbrt
10×associate-*l*
9×flip3-+ flip-+
6×pow-prod-up distribute-lft-out
5×prod-exp cbrt-unprod unswap-sqr
4×expm1-log1p-u frac-times sqrt-unprod log1p-expm1-u add-log-exp
3×pow-sqr *-commutative
2×associate-*l/
1×distribute-rgt-in rem-square-sqrt distribute-lft-in swap-sqr
Counts
4 → 121
Calls
4 calls:
65.0ms
(* a (+ (+ b c) d))
17.0ms
(sqrt (* a (+ (+ b c) d)))
61.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
156.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series6.2s

Counts
4 → 12
Calls
4 calls:
29.0ms
(* a (+ (+ b c) d))
224.0ms
(sqrt (* a (+ (+ b c) d)))
272.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
5.7s
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify2.5s

Counts
133 → 133
Iterations
IterNodes
done5000
23550
1587
0204

prune734.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma c a (* a (+ d b)))
0.0b
(* a (+ d b))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
3×associate-*l*
2×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef distribute-lft-out unswap-sqr
Counts
2 → 35
Calls
2 calls:
0.0ms
(fma c a (* a (+ d b)))
21.0ms
(* a (+ d b))

series68.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(fma c a (* a (+ d b)))
29.0ms
(* a (+ d b))

simplify987.0ms

Counts
41 → 41
Iterations
IterNodes
done5000
2645
1170
064

prune222.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes571.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
336.0ms8000×pre80true
241.0ms8000×body80valid