Details

Time bar (total: 18.5s)

sample47.0ms

Algorithm
intervals
Results
19.0ms281×body80valid

simplify5.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
010205
117205
232205
360180
4115180
5190180
6286180
7408180
8740180
91419180
104206180
done5000180

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.9b
(fma (/ y (- a t)) (- z t) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 49
Calls
2 calls:
10.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series319.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- a t))
273.0ms
(fma (/ y (- a t)) (- z t) x)

simplify1.3s

Counts
55 → 55
Iterations

Useful iterations: 3 (404.0ms)

IterNodesCost
09211470
117310773
243610693
3149010643
done500010643

prune365.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.8b
(/ 1 (/ (- a t) y))
2.9b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×flip3-- div-sub associate-/r/ fma-udef pow-flip flip-- inv-pow
Counts
3 → 152
Calls
3 calls:
34.0ms
(/ (- a t) y)
28.0ms
(/ 1 (/ (- a t) y))
1.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

series505.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- a t) y)
124.0ms
(/ 1 (/ (- a t) y))
342.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify1.8s

Counts
161 → 161
Iterations

Useful iterations: done (1.8s)

IterNodesCost
021047839
152038122
2243937777
done500233979

prune953.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) y)
10.4b
(/ (- z t) (/ (- a t) y))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
9×add-cbrt-cube add-exp-log
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×expm1-log1p-u pow1 clear-num frac-2neg flip3-- div-sub log1p-expm1-u flip-- add-log-exp
1×associate-/r/
Counts
2 → 179
Calls
2 calls:
27.0ms
(/ (- a t) y)
49.0ms
(/ (- z t) (/ (- a t) y))

series214.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- a t) y)
169.0ms
(/ (- z t) (/ (- a t) y))

simplify2.4s

Counts
185 → 185
Iterations

Useful iterations: 2 (810.0ms)

IterNodesCost
025169940
179266254
2391964541
done500164541

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.1b
(* (/ (- z t) (- a t)) y)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 106
Calls
2 calls:
28.0ms
(/ (- z t) (- a t))
53.0ms
(* (/ (- z t) (- a t)) y)

series256.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (- z t) (- a t))
187.0ms
(* (/ (- z t) (- a t)) y)

simplify1.3s

Counts
112 → 112
Iterations

Useful iterations: 2 (354.0ms)

IterNodesCost
014727878
138126638
2148126277
done500126277

prune646.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes488.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010205
112205
done12205

end0.0ms

sample1.1s

Algorithm
intervals
Results
571.0ms8781×body80valid