Details

Time bar (total: 24.2s)

sample47.0ms

Algorithm
intervals
Results
21.0ms275×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5000
103638
91242
8657
7374
6278
5190
4116
361
233
118
010

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.0b
(fma (/ (- z t) (- z a)) y x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
23.0ms
(/ (- z t) (- z a))
1.0ms
(fma (/ (- z t) (- z a)) y x)

series219.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ (- z t) (- z a))
132.0ms
(fma (/ (- z t) (- z a)) y x)

simplify2.6s

Counts
70 → 70
Iterations
IterNodes
done5000
34799
2831
1266
0113

prune468.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- z a))
0.0b
(/ t (- z a))
0.0b
(- (/ z (- z a)) (/ t (- z a)))
1.0b
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-cbrt-cube add-exp-log
6×associate-/l* add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
18.0ms
(/ z (- z a))
16.0ms
(/ t (- z a))
152.0ms
(- (/ z (- z a)) (/ t (- z a)))
1.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

series501.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ z (- z a))
54.0ms
(/ t (- z a))
191.0ms
(- (/ z (- z a)) (/ t (- z a)))
186.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

simplify2.3s

Counts
593 → 593
Iterations
IterNodes
done5000
23818
11279
0569

prune3.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- z a))
0.0b
(/ 1 (- z a))
0.2b
(* t (/ 1 (- z a)))
1.0b
(fma (- (/ z (- z a)) (* t (/ 1 (- z a)))) y x)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
57×*-un-lft-identity
47×times-frac
34×add-cube-cbrt
21×associate-*r*
19×add-exp-log
13×add-cbrt-cube
11×distribute-lft-out-- difference-of-squares
10×associate-/r*
7×pow1
6×associate-/r/ associate-/l*
5×div-exp
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- associate-*l* div-inv flip-- unswap-sqr
2×rec-exp clear-num frac-2neg 1-exp cbrt-unprod
1×pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef pow-flip inv-pow
Counts
4 → 138
Calls
4 calls:
14.0ms
(/ z (- z a))
19.0ms
(/ 1 (- z a))
31.0ms
(* t (/ 1 (- z a)))
0.0ms
(fma (- (/ z (- z a)) (* t (/ 1 (- z a)))) y x)

series380.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ z (- z a))
57.0ms
(/ 1 (- z a))
51.0ms
(* t (/ 1 (- z a)))
206.0ms
(fma (- (/ z (- z a)) (* t (/ 1 (- z a)))) y x)

simplify1.2s

Counts
150 → 150
Iterations
IterNodes
done5000
21456
1393
0175

prune994.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(* (cbrt (- z a)) (cbrt (- z a)))
0.6b
(* (cbrt z) (cbrt z))
1.0b
(fma (fma (/ (* (cbrt z) (cbrt z)) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt z) (cbrt (- z a))) (- (/ t (- z a)))) y x)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
47×cbrt-prod
45×add-sqr-sqrt
35×*-un-lft-identity
21×add-cube-cbrt
18×pow1
16×swap-sqr
14×associate-*r* associate-*l*
13×pow1/3
12×cbrt-div
8×add-exp-log unswap-sqr
6×flip3-- flip-- distribute-lft-out--
4×expm1-log1p-u frac-times add-cbrt-cube pow-prod-down pow-sqr pow-prod-up log1p-expm1-u add-log-exp difference-of-squares
2×pow2 pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
1×fma-udef
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt z)
38.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
9.0ms
(* (cbrt z) (cbrt z))
0.0ms
(fma (fma (/ (* (cbrt z) (cbrt z)) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt z) (cbrt (- z a))) (- (/ t (- z a)))) y x)

series1.6s

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt z)
253.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
348.0ms
(* (cbrt z) (cbrt z))
710.0ms
(fma (fma (/ (* (cbrt z) (cbrt z)) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt z) (cbrt (- z a))) (- (/ t (- z a)))) y x)

simplify3.1s

Counts
135 → 135
Iterations
IterNodes
done5001
21795
1421
0193

prune991.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes637.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.3s

Algorithm
intervals
Results
627.0ms8710×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid