Details

Time bar (total: 8.2s)

sample127.0ms

Algorithm
intervals
Results
48.0ms256×body80valid
46.0ms268×body80nan

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
1.8b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.6b
(/ (* z (sqrt (+ t a))) t)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
63×prod-diff
62×associate--r+
49×add-sqr-sqrt
45×add-cube-cbrt
36×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
16×add-exp-log add-cbrt-cube
15×distribute-lft-out
12×div-inv
9×flip3-- flip--
8×frac-times associate-*r/
7×fma-neg associate-*r*
6×pow1 add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp associate-/r* log1p-expm1-u associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 179
Calls
4 calls:
11.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
41.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series335.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
177.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
80.0ms
(/ (* z (sqrt (+ t a))) t)

simplify51.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013772637
150012324

prune907.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (+ t a)) t)
0.5b
(/ 2.0 (* t 3.0))
0.5b
(/ 2.0 (* t 3.0))
1.9b
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
27×times-frac
24×add-sqr-sqrt add-cube-cbrt
16×add-exp-log sqrt-prod add-cbrt-cube
13×associate-/l*
5×cbrt-undiv div-exp associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out add-log-exp
3×frac-2neg clear-num div-inv
2×sqrt-div prod-exp cbrt-unprod associate-/l/
1×flip3-+ flip-+ fma-udef
Counts
4 → 103
Calls
4 calls:
8.0ms
(/ (sqrt (+ t a)) t)
3.0ms
(/ 2.0 (* t 3.0))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series298.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ (sqrt (+ t a)) t)
15.0ms
(/ 2.0 (* t 3.0))
15.0ms
(/ 2.0 (* t 3.0))
207.0ms
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify37.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0378688
11172613
25001603

prune594.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
0.5b
(/ 2.0 (* t 3.0))
4.8b
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
7×associate-*r*
6×pow1 times-frac associate-/l*
5×sqrt-prod
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×frac-2neg sqrt-div associate-*r/ clear-num associate-/r* div-inv unswap-sqr
1×flip3-+ pow-prod-down *-commutative flip-+ fma-udef distribute-lft-out
Counts
4 → 83
Calls
4 calls:
12.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

series294.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
15.0ms
(/ 2.0 (* t 3.0))
200.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

simplify41.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0391525
11414450
25001441

prune702.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 2.0 (* t 3.0))
0.5b
(/ 2.0 (* t 3.0))
1.9b
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
43.2b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
14×add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
7×unpow-prod-down cube-prod
6×associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
2×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
1×cube-div cube-mult cbrt-div pow1/3 unpow3 rem-cbrt-cube fma-udef sqr-pow
Counts
4 → 88
Calls
4 calls:
3.0ms
(/ 2.0 (* t 3.0))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
3.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series253.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
16.0ms
(/ 2.0 (* t 3.0))
205.0ms
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
16.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify37.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0322498
11234458
25001454

prune519.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes268.0ms

Accuracy

0% (2.1b remaining)

Error of 2.7b against oracle of 0.5b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05029
15229
25229

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.5s8000×body80valid
1.3s8127×body80nan