Details

Time bar (total: 24.8s)

sample172.0ms

Algorithm
intervals
Results
58.0ms256×body80valid
49.0ms301×body80nan

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (476.0ms)

IterNodesCost
02833
15033
210832
338732
4160431
done500131

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (sqrt (+ t a)))
0.5b
(/ (/ 2.0 t) 3.0)
1.6b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
7.1b
(/ (* z (sqrt (+ t a))) t)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
53×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
7×associate-*r*
6×pow1 associate-/r* div-inv
5×cbrt-undiv div-exp sqrt-prod
4×expm1-log1p-u sqrt-div associate-*r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l/
2×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ unswap-sqr
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 134
Calls
4 calls:
42.0ms
(* z (sqrt (+ t a)))
11.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
27.0ms
(/ (* z (sqrt (+ t a))) t)

series523.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* z (sqrt (+ t a)))
35.0ms
(/ (/ 2.0 t) 3.0)
274.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
104.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.8s

Counts
146 → 146
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03191876
17401756
219821622
done50011602

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.2b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.6b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×times-frac
47×*-un-lft-identity
46×associate-*r*
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
25×add-exp-log
18×add-cbrt-cube
10×unswap-sqr
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
106.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

series1.0s

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt t)
303.0ms
(cbrt t)
148.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
313.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

simplify2.2s

Counts
137 → 137
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02452460
16682293
224411806
done50011678

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x))
0.0b
(fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x)
0.0b
(* a (- c b))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r*
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×sub-neg associate-*r/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod fma-udef div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 85
Calls
3 calls:
7.0ms
(/ x (fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x))
0.0ms
(fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x)
23.0ms
(* a (- c b))

series539.0ms

Counts
3 → 9
Calls
3 calls:
239.0ms
(/ x (fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x))
234.0ms
(fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x)
66.0ms
(* a (- c b))

simplify2.3s

Counts
94 → 94
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01751716
13211528
27001323
323941281
done50001226

prune352.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
0.0b
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
1.1b
(- (/ b t) (/ c t))

rewrite702.0ms

Algorithm
rewrite-expression-head
Rules
1667×times-frac
1320×add-sqr-sqrt
1310×*-un-lft-identity
1294×add-cube-cbrt
1185×prod-diff
684×associate--l+
513×distribute-rgt-in distribute-lft-in
345×unpow-prod-up
187×div-inv
14×fma-neg
12×associate-*r*
9×sub-neg
8×distribute-lft-out-- add-log-exp difference-of-squares
7×pow1
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u pow-pow associate-*r/ log1p-expm1-u
3×unpow-prod-down pow-unpow exp-prod flip3-- associate-*l* flip--
2×distribute-rgt-out-- diff-log frac-sub sub-div
1×pow-to-exp pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod pow-sub unswap-sqr sqr-pow
Counts
4 → 1308
Calls
4 calls:
122.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
128.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
146.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
60.0ms
(- (/ b t) (/ c t))

series328.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
154.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
77.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
30.0ms
(- (/ b t) (/ c t))

simplify3.1s

Counts
1320 → 1320
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0120155140
1270548928
done500037817

prune7.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes3.0ms