Details

Time bar (total: 4.1s)

sample23.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
3.2b
(fma (/ y (- a t)) (- z t) x)

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))
1.0ms
(fma (/ y (- a t)) (- z t) x)

series228.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ y (- a t))
197.0ms
(fma (/ y (- a t)) (- z t) x)

simplify110.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune167.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ y (- a t)) (- z t)) x)
0.0b
(/ y (- a t))
10.3b
(* (/ y (- a t)) (- z t))

rewrite42.0ms

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 add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×sub-neg flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 145
Calls
3 calls:
13.0ms
(+ (* (/ y (- a t)) (- z t)) x)
6.0ms
(/ y (- a t))
17.0ms
(* (/ y (- a t)) (- z t))

series421.0ms

Counts
3 → 9
Calls
3 calls:
229.0ms
(+ (* (/ y (- a t)) (- z t)) x)
29.0ms
(/ y (- a t))
164.0ms
(* (/ y (- a t)) (- z t))

simplify70.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05661124
12255891
25001883

prune415.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (/ (- z t) (- a t))) x)
0.0b
(/ (- z t) (- a t))
1.7b
(* y (/ (- z t) (- a t)))

rewrite37.0ms

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
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u
2×cbrt-undiv div-exp 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 → 120
Calls
3 calls:
10.0ms
(+ (* y (/ (- z t) (- a t))) x)
8.0ms
(/ (- z t) (- a t))
14.0ms
(* y (/ (- z t) (- a t)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (* y (/ (- z t) (- a t))) x)
53.0ms
(/ (- z t) (- a t))
77.0ms
(* y (/ (- z t) (- a t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0435778
11689734
25002734

prune322.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* y (/ 1 (- a t))) (- z t)) x)
0.0b
(/ 1 (- a t))
0.2b
(* y (/ 1 (- a t)))
10.3b
(* (* y (/ 1 (- a t))) (- z t))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
66×*-un-lft-identity
49×add-cube-cbrt
36×prod-diff
32×add-exp-log times-frac
26×associate-*r*
22×distribute-rgt-in associate-+l+ distribute-lft-in
20×add-cbrt-cube
13×prod-exp
12×pow1
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-*r/ div-exp add-log-exp
5×flip3-- associate-/r* flip--
4×expm1-log1p-u frac-times sub-neg associate-*l* pow-prod-down associate-/r/ un-div-inv log1p-expm1-u
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×associate-*l/ *-commutative div-inv
1×+-commutative pow-flip fma-def frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 181
Calls
4 calls:
15.0ms
(+ (* (* y (/ 1 (- a t))) (- z t)) x)
6.0ms
(/ 1 (- a t))
13.0ms
(* y (/ 1 (- a t)))
14.0ms
(* (* y (/ 1 (- a t))) (- z t))

series458.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(+ (* (* y (/ 1 (- a t))) (- z t)) x)
37.0ms
(/ 1 (- a t))
31.0ms
(* y (/ 1 (- a t)))
161.0ms
(* (* y (/ 1 (- a t))) (- z t))

simplify83.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06531373
13011997
25001937

prune426.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes196.0ms

Accuracy

64.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.2b

bsearch79.0ms

Steps
ItersRangePoint
8
5.356607675670269e+24
1.259208903939255e+29
5.493382752707537e+24
7
-4.834896259272564e-89
-7.191373683057532e-91
-1.270112277700152e-89

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02610
12610

end0.0ms

sample516.0ms

Algorithm
intervals
Results
268.0ms8701×body80valid