Details

Time bar (total: 21.8s)

sample59.0ms

Algorithm
intervals
Results
21.0ms241×body80valid
4.0ms13×body640valid
3.0ms12×body320valid
2.0ms14×body160valid
2.0ms5×body1280valid
1.0ms2×body2560valid

simplify9.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
01113
12013
24513
311612
432212
577012
6155612
7286512
8469812
done500012

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
13.9b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite44.0ms

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-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
40.0ms
(/ (- y x) (- a t))
1.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series206.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ (- y x) (- a t))
125.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify1.5s

Counts
70 → 70
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0118918
1270890
2658838
31740836
done5000830

prune310.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- y x) (/ 1 (- a t)))
13.9b
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
25.0ms
(/ 1 (- a t))
60.0ms
(* (- y x) (/ 1 (- a t)))
0.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series243.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 1 (- a t))
71.0ms
(* (- y x) (/ 1 (- a t)))
123.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify2.8s

Counts
114 → 114
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01551285
13451052
2954948
33237946
done5001946

prune498.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
4.7b
(* (- z t) (/ (- y x) (- a t)))
5.0b
(+ (* (- z t) (/ (- y x) (- a t))) x)

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 126
Calls
3 calls:
41.0ms
(/ (- y x) (- a t))
96.0ms
(* (- z t) (/ (- y x) (- a t)))
58.0ms
(+ (* (- z t) (/ (- y x) (- a t))) x)

series538.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(/ (- y x) (- a t))
211.0ms
(* (- z t) (/ (- y x) (- a t)))
248.0ms
(+ (* (- z t) (/ (- y x) (- a t))) x)

simplify1.4s

Counts
135 → 135
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01891881
14861765
217681669
done50011667

prune530.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 3.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.8b
(* (- z t) (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t)))))
8.4b
(+ (* (* (- z t) (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (- y x)) (cbrt (- a t)))) x)

rewrite658.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
17×add-sqr-sqrt
16×cbrt-div
14×*-un-lft-identity add-cbrt-cube
13×associate-*r*
10×cbrt-prod flip3-- flip--
9×prod-exp cbrt-unprod
8×add-cube-cbrt associate-/r/
6×pow1 frac-times add-log-exp
5×associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u
3×associate-*r/ distribute-lft-out-- difference-of-squares
2×times-frac pow1/3 unswap-sqr
1×+-commutative fma-def flip3-+ pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
4 → 94
Calls
4 calls:
5.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))
175.0ms
(* (- z t) (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t)))))
467.0ms
(+ (* (* (- z t) (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (- y x)) (cbrt (- a t)))) x)

series1.1s

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt (- y x))
235.0ms
(cbrt (- y x))
447.0ms
(* (- z t) (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t)))))
227.0ms
(+ (* (* (- z t) (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (- y x)) (cbrt (- a t)))) x)

simplify1.9s

Counts
106 → 106
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02562637
16882520
224941866
done50021722

prune480.0ms

Pruning

21 alts after pruning (18 fresh and 3 done)

Merged error: 3.6b

regimes8.0ms