Details

Time bar (total: 3.7s)

sample28.0ms

Algorithm
intervals
Results
7.0ms227×body80valid
4.0ms13×body320valid
2.0ms16×body1280valid
2.0ms16×body640valid
1.0ms11×body160valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (13.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
14.7b
(fma (/ y (- a t)) (- t z) (+ x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series109.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- a t))
80.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify45.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune189.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
4.0b
(+ (* (/ y (- a t)) (- t z)) (+ x y))
12.1b
(* (/ y (- a t)) (- t z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
63×*-un-lft-identity
47×add-cube-cbrt
36×prod-diff
31×times-frac
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
10×add-exp-log frac-add add-cbrt-cube
8×flip3-- flip-- distribute-lft-out-- add-log-exp difference-of-squares
6×frac-times flip3-+ associate-*r/ flip-+
5×pow1 associate-*r* associate-/r*
4×sub-neg associate-/r/
3×expm1-log1p-u associate-*l/ sum-log log1p-expm1-u associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative associate-+r+ fma-def frac-2neg pow-prod-down clear-num *-commutative
Counts
3 → 157
Calls
3 calls:
5.0ms
(/ y (- a t))
18.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
27.0ms
(* (/ y (- a t)) (- t z))

series279.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ y (- a t))
100.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
150.0ms
(* (/ y (- a t)) (- t z))

simplify104.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08591392
140161146
250011146

prune518.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- a t))
1.4b
(* y (/ (- t z) (- a t)))
2.6b
(+ (* y (/ (- t z) (- a t))) (+ x y))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
8×add-log-exp
5×pow1 associate-/r* associate-/l*
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*r/ associate-*l* sum-log flip-- log1p-expm1-u
2×cbrt-undiv flip3-+ div-exp frac-add prod-exp cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+r+ fma-def frac-2neg div-sub pow-prod-down clear-num *-commutative
Counts
3 → 124
Calls
3 calls:
12.0ms
(/ (- t z) (- a t))
25.0ms
(* y (/ (- t z) (- a t)))
14.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))

series250.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (- t z) (- a t))
66.0ms
(* y (/ (- t z) (- a t)))
140.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0529835
12239790
25002788

prune362.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- a t))
3.1b
(fma y (/ (- t z) (- a t)) (+ x y))

rewrite15.0ms

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:
12.0ms
(/ (- t z) (- a t))
0.0ms
(fma y (/ (- t z) (- a t)) (+ x y))

series170.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- t z) (- a t))
123.0ms
(fma y (/ (- t z) (- a t)) (+ x y))

simplify61.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0257444
1699419
22385417
35003417

prune185.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.2b

regimes328.0ms

Accuracy

19.5% (6.7b remaining)

Error of 10.0b against oracle of 3.3b and baseline of 11.6b

bsearch76.0ms

Steps
ItersRangePoint
6
5.548255359948423e+29
6.152553911645996e+30
5.6339865852383654e+29
9
-6.086858557591522e-81
-4.158131499047014e-90
-1.0093387841425542e-85

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample626.0ms

Algorithm
intervals
Results
227.0ms7343×body80valid
58.0ms461×body640valid
40.0ms260×body1280valid
35.0ms407×body320valid
17.0ms247×body160valid
2.0ms11×body2560valid