Details

Time bar (total: 6.6s)

sample22.0ms

Algorithm
intervals
Results
9.0ms280×body80valid

simplify67.0ms

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

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
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))
3.5b
(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))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series226.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ y (- a t))
192.0ms
(fma (/ y (- a t)) (- z t) x)

simplify108.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune167.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
11.8b
(* (/ y (- a t)) (- z t))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
6.0ms
(/ y (- a t))
27.0ms
(* (/ y (- a t)) (- z t))

series195.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ y (- a t))
163.0ms
(* (/ y (- a t)) (- z t))

simplify61.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0471839
11985675
25001669

prune275.0ms

Filtered
115 candidates to 75 candidates (65.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.3b
(* y (/ (- z t) (- a t)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
13.0ms
(/ (- z t) (- a t))
29.0ms
(* y (/ (- z t) (- a t)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- z t) (- a t))
75.0ms
(* y (/ (- z t) (- a t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0356664
11414623
25001623

prune278.0ms

Filtered
112 candidates to 75 candidates (67.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- a t)) (/ t (- a t)))
0.0b
(/ z (- a t))
0.0b
(/ t (- a t))
2.3b
(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite539.0ms

Algorithm
rewrite-expression-head
Rules
2003×*-un-lft-identity
1985×add-sqr-sqrt
1971×times-frac
1323×prod-diff
1173×add-cube-cbrt
443×distribute-rgt-in distribute-lft-in
413×distribute-lft-out--
401×difference-of-squares
266×associate-/r/
135×flip3-- flip--
133×div-inv
21×fma-neg
18×associate-*r*
10×add-exp-log associate-/r* add-cbrt-cube
6×pow1 distribute-rgt-out-- associate-/l* add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×sub-neg associate-*l*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 1496
Calls
4 calls:
79.0ms
(- (/ z (- a t)) (/ t (- a t)))
6.0ms
(/ z (- a t))
6.0ms
(/ t (- a t))
260.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (/ z (- a t)) (/ t (- a t)))
31.0ms
(/ z (- a t))
50.0ms
(/ t (- a t))
94.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

simplify413.0ms

Algorithm
egg-herbie
Counts
1508 → 1508
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
0202147467
1500138512

prune2.9s

Filtered
1508 candidates to 554 candidates (36.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes178.0ms

Accuracy

-5% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.4b

bsearch89.0ms

Steps
ItersRangePoint
8
7.254603126169503e-72
3.935207622333976e-69
8.496576100564071e-71
8
-2.9094027944766536e-270
-3.6457286778949607e-274
-1.0071455594193599e-271

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
13014

end0.0ms

sample570.0ms

Algorithm
intervals
Results
289.0ms8733×body80valid
0.0ms1×body640valid
0.0ms1×body160valid