Details

Time bar (total: 5.2s)

sample44.0ms

Algorithm
intervals
Results
19.0ms230×body80valid
4.0ms15×body640valid
3.0ms15×body320valid
3.0ms9×body1280valid
1.0ms8×body160valid
0.0ms1×body2560valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (15.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
12.8b
(fma (/ y (- a t)) (- t z) (+ x y))

rewrite8.0ms

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:
6.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series116.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ y (- a t))
81.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify48.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune199.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
3.1b
(+ (* (/ y (- a t)) (- t z)) (+ x y))
12.2b
(* (/ y (- a t)) (- t z))

rewrite68.0ms

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:
6.0ms
(/ y (- a t))
24.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
29.0ms
(* (/ y (- a t)) (- t z))

series312.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (- a t))
112.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
169.0ms
(* (/ y (- a t)) (- t z))

simplify114.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
08591392
140161146
250011146

prune573.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- a t))
1.4b
(* y (/ (- t z) (- a t)))
2.4b
(+ (* y (/ (- t z) (- a t))) (+ x y))

rewrite64.0ms

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:
13.0ms
(/ (- t z) (- a t))
30.0ms
(* y (/ (- t z) (- a t)))
15.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))

series265.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- t z) (- a t))
74.0ms
(* y (/ (- t z) (- a t)))
145.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))

simplify80.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0529835
12239790
25002788

prune397.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.6b

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b
(* y (/ (- t z) (- a t)))
2.4b
(+ (* y (/ (- t z) (- a t))) (+ x y))
2.4b
(+ (* y (/ (- t z) (- a t))) (+ x y))
2.4b
(+ (* y (/ (- t z) (- a t))) (+ x y))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*r*
26×times-frac
19×add-log-exp
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-exp-log sum-log add-cbrt-cube
7×associate-*r/
6×pow1 flip3-+ frac-add flip-+
4×expm1-log1p-u log1p-expm1-u
3×+-commutative associate-+r+ fma-def associate-*l*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 106
Calls
4 calls:
31.0ms
(* y (/ (- t z) (- a t)))
15.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))
15.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))
15.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))

series521.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* y (/ (- t z) (- a t)))
145.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))
152.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))
150.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0425838
11921777
25002771

prune438.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.6b

regimes317.0ms

Accuracy

29.6% (6.6b remaining)

Error of 10.2b against oracle of 3.6b and baseline of 13.0b

bsearch131.0ms

Steps
ItersRangePoint
8
1.5309492343940205e-23
2.345055082250583e-20
1.558281330917877e-23
9
-1.6403913947299852e-166
-1.382872538396245e-172
-4.2333132330479756e-168

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0278
1278

end0.0ms

sample1.3s

Algorithm
intervals
Results
628.0ms7280×body80valid
125.0ms473×body640valid
91.0ms423×body320valid
88.0ms271×body1280valid
37.0ms258×body160valid
6.0ms15×body2560valid